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Finding the Third Proportional to 327,360,696 and 709,208,764

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Solution

The third proportional to 327,360,696 and 709,208,764 is: 1,536,461,392.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,360,696 : 709,208,764 = 709,208,764 : x
  2. Step 2: Convert to fraction form
    327,360,696/709,208,764 = 709,208,764/x
  3. Step 3: Cross multiply
    327,360,696x = 709,208,764 × 709,208,764
  4. Step 4: Simplify right side
    327,360,696x = 502,977,070,934,407,680
  5. Step 5: Solve for x
    x = 502,977,070,934,407,680/327,360,696
  6. Step 6: Final answer
    x = 1,536,461,392.83

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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.