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Finding the Third Proportional to 478,966.50 and 736,426.50

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Solution

The third proportional to 478,966.50 and 736,426.50 is: 1,132,279.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,966.50 : 736,426.50 = 736,426.50 : x
  2. Step 2: Convert to fraction form
    478,966.50/736,426.50 = 736,426.50/x
  3. Step 3: Cross multiply
    478,966.50x = 736,426.50 × 736,426.50
  4. Step 4: Simplify right side
    478,966.50x = 542,323,989,902.25
  5. Step 5: Solve for x
    x = 542,323,989,902.25/478,966.50
  6. Step 6: Final answer
    x = 1,132,279.59

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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.