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Finding the Third Proportional to 221,098 and 473,739

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Solution

The third proportional to 221,098 and 473,739 is: 1,015,064.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,098 : 473,739 = 473,739 : x
  2. Step 2: Convert to fraction form
    221,098/473,739 = 473,739/x
  3. Step 3: Cross multiply
    221,098x = 473,739 × 473,739
  4. Step 4: Simplify right side
    221,098x = 224,428,640,121
  5. Step 5: Solve for x
    x = 224,428,640,121/221,098
  6. Step 6: Final answer
    x = 1,015,064.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.