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Finding the Third Proportional to 459,052.31 and 645,301.69

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Solution

The third proportional to 459,052.31 and 645,301.69 is: 907,117.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,052.31 : 645,301.69 = 645,301.69 : x
  2. Step 2: Convert to fraction form
    459,052.31/645,301.69 = 645,301.69/x
  3. Step 3: Cross multiply
    459,052.31x = 645,301.69 × 645,301.69
  4. Step 4: Simplify right side
    459,052.31x = 416,414,267,890.35
  5. Step 5: Solve for x
    x = 416,414,267,890.35/459,052.31
  6. Step 6: Final answer
    x = 907,117.24

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.