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Finding the Third Proportional to 611,614.50 and 944,691.75

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Solution

The third proportional to 611,614.50 and 944,691.75 is: 1,459,158.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,614.50 : 944,691.75 = 944,691.75 : x
  2. Step 2: Convert to fraction form
    611,614.50/944,691.75 = 944,691.75/x
  3. Step 3: Cross multiply
    611,614.50x = 944,691.75 × 944,691.75
  4. Step 4: Simplify right side
    611,614.50x = 892,442,502,518.06
  5. Step 5: Solve for x
    x = 892,442,502,518.06/611,614.50
  6. Step 6: Final answer
    x = 1,459,158.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.