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Finding the Third Proportional to 224,292 and 473,856

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Solution

The third proportional to 224,292 and 473,856 is: 1,001,103.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,292 : 473,856 = 473,856 : x
  2. Step 2: Convert to fraction form
    224,292/473,856 = 473,856/x
  3. Step 3: Cross multiply
    224,292x = 473,856 × 473,856
  4. Step 4: Simplify right side
    224,292x = 224,539,508,736
  5. Step 5: Solve for x
    x = 224,539,508,736/224,292
  6. Step 6: Final answer
    x = 1,001,103.51

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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.