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Finding the Third Proportional to 317,531.50 and 684,919

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Solution

The third proportional to 317,531.50 and 684,919 is: 1,477,377.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,531.50 : 684,919 = 684,919 : x
  2. Step 2: Convert to fraction form
    317,531.50/684,919 = 684,919/x
  3. Step 3: Cross multiply
    317,531.50x = 684,919 × 684,919
  4. Step 4: Simplify right side
    317,531.50x = 469,114,036,561
  5. Step 5: Solve for x
    x = 469,114,036,561/317,531.50
  6. Step 6: Final answer
    x = 1,477,377.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.