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Finding the Third Proportional to 392,341.64 and 591,398.09

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Solution

The third proportional to 392,341.64 and 591,398.09 is: 891,446.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,341.64 : 591,398.09 = 591,398.09 : x
  2. Step 2: Convert to fraction form
    392,341.64/591,398.09 = 591,398.09/x
  3. Step 3: Cross multiply
    392,341.64x = 591,398.09 × 591,398.09
  4. Step 4: Simplify right side
    392,341.64x = 349,751,696,050.54
  5. Step 5: Solve for x
    x = 349,751,696,050.54/392,341.64
  6. Step 6: Final answer
    x = 891,446.79

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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.