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Finding the Third Proportional to 224,514 and 476,703

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Solution

The third proportional to 224,514 and 476,703 is: 1,012,167.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,514 : 476,703 = 476,703 : x
  2. Step 2: Convert to fraction form
    224,514/476,703 = 476,703/x
  3. Step 3: Cross multiply
    224,514x = 476,703 × 476,703
  4. Step 4: Simplify right side
    224,514x = 227,245,750,209
  5. Step 5: Solve for x
    x = 227,245,750,209/224,514
  6. Step 6: Final answer
    x = 1,012,167.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.