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Finding the Third Proportional to 688,123.50 and 1,011,881.25

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Solution

The third proportional to 688,123.50 and 1,011,881.25 is: 1,487,964.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,123.50 : 1,011,881.25 = 1,011,881.25 : x
  2. Step 2: Convert to fraction form
    688,123.50/1,011,881.25 = 1,011,881.25/x
  3. Step 3: Cross multiply
    688,123.50x = 1,011,881.25 × 1,011,881.25
  4. Step 4: Simplify right side
    688,123.50x = 1,023,903,664,101.56
  5. Step 5: Solve for x
    x = 1,023,903,664,101.56/688,123.50
  6. Step 6: Final answer
    x = 1,487,964.97

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.