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Finding the Third Proportional to 488,162 and 730,475

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Solution

The third proportional to 488,162 and 730,475 is: 1,093,066.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,162 : 730,475 = 730,475 : x
  2. Step 2: Convert to fraction form
    488,162/730,475 = 730,475/x
  3. Step 3: Cross multiply
    488,162x = 730,475 × 730,475
  4. Step 4: Simplify right side
    488,162x = 533,593,725,625
  5. Step 5: Solve for x
    x = 533,593,725,625/488,162
  6. Step 6: Final answer
    x = 1,093,066.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.