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Finding the Third Proportional to 224,289 and 473,850

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Solution

The third proportional to 224,289 and 473,850 is: 1,001,091.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,289 : 473,850 = 473,850 : x
  2. Step 2: Convert to fraction form
    224,289/473,850 = 473,850/x
  3. Step 3: Cross multiply
    224,289x = 473,850 × 473,850
  4. Step 4: Simplify right side
    224,289x = 224,533,822,500
  5. Step 5: Solve for x
    x = 224,533,822,500/224,289
  6. Step 6: Final answer
    x = 1,001,091.55

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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.