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Finding the Third Proportional to 392,617.13 and 592,201.13

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Solution

The third proportional to 392,617.13 and 592,201.13 is: 893,242.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,617.13 : 592,201.13 = 592,201.13 : x
  2. Step 2: Convert to fraction form
    392,617.13/592,201.13 = 592,201.13/x
  3. Step 3: Cross multiply
    392,617.13x = 592,201.13 × 592,201.13
  4. Step 4: Simplify right side
    392,617.13x = 350,702,172,451.27
  5. Step 5: Solve for x
    x = 350,702,172,451.27/392,617.13
  6. Step 6: Final answer
    x = 893,242.17

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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.