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Finding the Third Proportional to 224,712 and 484,380

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Solution

The third proportional to 224,712 and 484,380 is: 1,044,109.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,712 : 484,380 = 484,380 : x
  2. Step 2: Convert to fraction form
    224,712/484,380 = 484,380/x
  3. Step 3: Cross multiply
    224,712x = 484,380 × 484,380
  4. Step 4: Simplify right side
    224,712x = 234,623,984,400
  5. Step 5: Solve for x
    x = 234,623,984,400/224,712
  6. Step 6: Final answer
    x = 1,044,109.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.