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Finding the Third Proportional to 224,607 and 482,073

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Solution

The third proportional to 224,607 and 482,073 is: 1,034,671.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,607 : 482,073 = 482,073 : x
  2. Step 2: Convert to fraction form
    224,607/482,073 = 482,073/x
  3. Step 3: Cross multiply
    224,607x = 482,073 × 482,073
  4. Step 4: Simplify right side
    224,607x = 232,394,377,329
  5. Step 5: Solve for x
    x = 232,394,377,329/224,607
  6. Step 6: Final answer
    x = 1,034,671.12

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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.