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Finding the Third Proportional to 317,665.13 and 619,368.19

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Solution

The third proportional to 317,665.13 and 619,368.19 is: 1,207,614.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,665.13 : 619,368.19 = 619,368.19 : x
  2. Step 2: Convert to fraction form
    317,665.13/619,368.19 = 619,368.19/x
  3. Step 3: Cross multiply
    317,665.13x = 619,368.19 × 619,368.19
  4. Step 4: Simplify right side
    317,665.13x = 383,616,951,687.04
  5. Step 5: Solve for x
    x = 383,616,951,687.04/317,665.13
  6. Step 6: Final answer
    x = 1,207,614.31

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.