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Finding the Third Proportional to 224,076 and 490,107

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Solution

The third proportional to 224,076 and 490,107 is: 1,071,979.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,076 : 490,107 = 490,107 : x
  2. Step 2: Convert to fraction form
    224,076/490,107 = 490,107/x
  3. Step 3: Cross multiply
    224,076x = 490,107 × 490,107
  4. Step 4: Simplify right side
    224,076x = 240,204,871,449
  5. Step 5: Solve for x
    x = 240,204,871,449/224,076
  6. Step 6: Final answer
    x = 1,071,979.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.