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Finding the Third Proportional to 649,359 and 884,614.50

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Solution

The third proportional to 649,359 and 884,614.50 is: 1,205,100.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,359 : 884,614.50 = 884,614.50 : x
  2. Step 2: Convert to fraction form
    649,359/884,614.50 = 884,614.50/x
  3. Step 3: Cross multiply
    649,359x = 884,614.50 × 884,614.50
  4. Step 4: Simplify right side
    649,359x = 782,542,813,610.25
  5. Step 5: Solve for x
    x = 782,542,813,610.25/649,359
  6. Step 6: Final answer
    x = 1,205,100.44

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Why These Related Problems?

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