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Finding the Third Proportional to 478,965 and 736,425

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Solution

The third proportional to 478,965 and 736,425 is: 1,132,278.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,965 : 736,425 = 736,425 : x
  2. Step 2: Convert to fraction form
    478,965/736,425 = 736,425/x
  3. Step 3: Cross multiply
    478,965x = 736,425 × 736,425
  4. Step 4: Simplify right side
    478,965x = 542,321,780,625
  5. Step 5: Solve for x
    x = 542,321,780,625/478,965
  6. Step 6: Final answer
    x = 1,132,278.52

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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.