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Finding the Third Proportional to 327,360,694 and 709,208,760

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Solution

The third proportional to 327,360,694 and 709,208,760 is: 1,536,461,384.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,360,694 : 709,208,760 = 709,208,760 : x
  2. Step 2: Convert to fraction form
    327,360,694/709,208,760 = 709,208,760/x
  3. Step 3: Cross multiply
    327,360,694x = 709,208,760 × 709,208,760
  4. Step 4: Simplify right side
    327,360,694x = 502,977,065,260,737,600
  5. Step 5: Solve for x
    x = 502,977,065,260,737,600/327,360,694
  6. Step 6: Final answer
    x = 1,536,461,384.89

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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.