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Finding the Third Proportional to 309,538 and 466,792

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Solution

The third proportional to 309,538 and 466,792 is: 703,935.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,538 : 466,792 = 466,792 : x
  2. Step 2: Convert to fraction form
    309,538/466,792 = 466,792/x
  3. Step 3: Cross multiply
    309,538x = 466,792 × 466,792
  4. Step 4: Simplify right side
    309,538x = 217,894,771,264
  5. Step 5: Solve for x
    x = 217,894,771,264/309,538
  6. Step 6: Final answer
    x = 703,935.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.