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Finding the Third Proportional to 329,032,003.50 and 714,704,388.75

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Solution

The third proportional to 329,032,003.50 and 714,704,388.75 is: 1,552,439,756.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,032,003.50 : 714,704,388.75 = 714,704,388.75 : x
  2. Step 2: Convert to fraction form
    329,032,003.50/714,704,388.75 = 714,704,388.75/x
  3. Step 3: Cross multiply
    329,032,003.50x = 714,704,388.75 × 714,704,388.75
  4. Step 4: Simplify right side
    329,032,003.50x = 510,802,363,298,511,104
  5. Step 5: Solve for x
    x = 510,802,363,298,511,104/329,032,003.50
  6. Step 6: Final answer
    x = 1,552,439,756.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.