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Finding the Third Proportional to 317,690.44 and 619,417.13

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Solution

The third proportional to 317,690.44 and 619,417.13 is: 1,207,708.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,690.44 : 619,417.13 = 619,417.13 : x
  2. Step 2: Convert to fraction form
    317,690.44/619,417.13 = 619,417.13/x
  3. Step 3: Cross multiply
    317,690.44x = 619,417.13 × 619,417.13
  4. Step 4: Simplify right side
    317,690.44x = 383,677,574,743.27
  5. Step 5: Solve for x
    x = 383,677,574,743.27/317,690.44
  6. Step 6: Final answer
    x = 1,207,708.92

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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.