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Finding the Third Proportional to 287,236.13 and 454,614.19

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Solution

The third proportional to 287,236.13 and 454,614.19 is: 719,526.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,236.13 : 454,614.19 = 454,614.19 : x
  2. Step 2: Convert to fraction form
    287,236.13/454,614.19 = 454,614.19/x
  3. Step 3: Cross multiply
    287,236.13x = 454,614.19 × 454,614.19
  4. Step 4: Simplify right side
    287,236.13x = 206,674,059,476.29
  5. Step 5: Solve for x
    x = 206,674,059,476.29/287,236.13
  6. Step 6: Final answer
    x = 719,526.69

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.