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Finding the Third Proportional to 329,031,999 and 714,704,379.75

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Solution

The third proportional to 329,031,999 and 714,704,379.75 is: 1,552,439,738.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,031,999 : 714,704,379.75 = 714,704,379.75 : x
  2. Step 2: Convert to fraction form
    329,031,999/714,704,379.75 = 714,704,379.75/x
  3. Step 3: Cross multiply
    329,031,999x = 714,704,379.75 × 714,704,379.75
  4. Step 4: Simplify right side
    329,031,999x = 510,802,350,433,832,192
  5. Step 5: Solve for x
    x = 510,802,350,433,832,192/329,031,999
  6. Step 6: Final answer
    x = 1,552,439,738.34

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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.