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Finding the Third Proportional to 224,295 and 473,862

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Solution

The third proportional to 224,295 and 473,862 is: 1,001,115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,295 : 473,862 = 473,862 : x
  2. Step 2: Convert to fraction form
    224,295/473,862 = 473,862/x
  3. Step 3: Cross multiply
    224,295x = 473,862 × 473,862
  4. Step 4: Simplify right side
    224,295x = 224,545,195,044
  5. Step 5: Solve for x
    x = 224,545,195,044/224,295
  6. Step 6: Final answer
    x = 1,001,115.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.