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Finding the Third Proportional to 324,290,743 and 713,438,942

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Solution

The third proportional to 324,290,743 and 713,438,942 is: 1,569,564,148.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,290,743 : 713,438,942 = 713,438,942 : x
  2. Step 2: Convert to fraction form
    324,290,743/713,438,942 = 713,438,942/x
  3. Step 3: Cross multiply
    324,290,743x = 713,438,942 × 713,438,942
  4. Step 4: Simplify right side
    324,290,743x = 508,995,123,962,079,360
  5. Step 5: Solve for x
    x = 508,995,123,962,079,360/324,290,743
  6. Step 6: Final answer
    x = 1,569,564,148.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.