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Finding the Third Proportional to 329,032,014 and 714,704,412

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Solution

The third proportional to 329,032,014 and 714,704,412 is: 1,552,439,807.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,032,014 : 714,704,412 = 714,704,412 : x
  2. Step 2: Convert to fraction form
    329,032,014/714,704,412 = 714,704,412/x
  3. Step 3: Cross multiply
    329,032,014x = 714,704,412 × 714,704,412
  4. Step 4: Simplify right side
    329,032,014x = 510,802,396,532,265,728
  5. Step 5: Solve for x
    x = 510,802,396,532,265,728/329,032,014
  6. Step 6: Final answer
    x = 1,552,439,807.67

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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.