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Finding the Third Proportional to 317,418.75 and 643,038.75

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Solution

The third proportional to 317,418.75 and 643,038.75 is: 1,302,691.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,418.75 : 643,038.75 = 643,038.75 : x
  2. Step 2: Convert to fraction form
    317,418.75/643,038.75 = 643,038.75/x
  3. Step 3: Cross multiply
    317,418.75x = 643,038.75 × 643,038.75
  4. Step 4: Simplify right side
    317,418.75x = 413,498,834,001.56
  5. Step 5: Solve for x
    x = 413,498,834,001.56/317,418.75
  6. Step 6: Final answer
    x = 1,302,691.90

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.