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Finding the Third Proportional to 309,540 and 466,795

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Solution

The third proportional to 309,540 and 466,795 is: 703,939.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,540 : 466,795 = 466,795 : x
  2. Step 2: Convert to fraction form
    309,540/466,795 = 466,795/x
  3. Step 3: Cross multiply
    309,540x = 466,795 × 466,795
  4. Step 4: Simplify right side
    309,540x = 217,897,572,025
  5. Step 5: Solve for x
    x = 217,897,572,025/309,540
  6. Step 6: Final answer
    x = 703,939.95

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