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Finding the Third Proportional to 688,531.50 and 938,682

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Solution

The third proportional to 688,531.50 and 938,682 is: 1,279,714.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,531.50 : 938,682 = 938,682 : x
  2. Step 2: Convert to fraction form
    688,531.50/938,682 = 938,682/x
  3. Step 3: Cross multiply
    688,531.50x = 938,682 × 938,682
  4. Step 4: Simplify right side
    688,531.50x = 881,123,897,124
  5. Step 5: Solve for x
    x = 881,123,897,124/688,531.50
  6. Step 6: Final answer
    x = 1,279,714.72

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.