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Finding the Third Proportional to 224,694 and 480,060

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Solution

The third proportional to 224,694 and 480,060 is: 1,025,650.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,694 : 480,060 = 480,060 : x
  2. Step 2: Convert to fraction form
    224,694/480,060 = 480,060/x
  3. Step 3: Cross multiply
    224,694x = 480,060 × 480,060
  4. Step 4: Simplify right side
    224,694x = 230,457,603,600
  5. Step 5: Solve for x
    x = 230,457,603,600/224,694
  6. Step 6: Final answer
    x = 1,025,650.90

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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.