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Finding the Third Proportional to 224,715 and 482,475

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Solution

The third proportional to 224,715 and 482,475 is: 1,035,899.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,715 : 482,475 = 482,475 : x
  2. Step 2: Convert to fraction form
    224,715/482,475 = 482,475/x
  3. Step 3: Cross multiply
    224,715x = 482,475 × 482,475
  4. Step 4: Simplify right side
    224,715x = 232,782,125,625
  5. Step 5: Solve for x
    x = 232,782,125,625/224,715
  6. Step 6: Final answer
    x = 1,035,899.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.