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Finding the Third Proportional to 224,380.13 and 484,434

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Solution

The third proportional to 224,380.13 and 484,434 is: 1,045,887.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,380.13 : 484,434 = 484,434 : x
  2. Step 2: Convert to fraction form
    224,380.13/484,434 = 484,434/x
  3. Step 3: Cross multiply
    224,380.13x = 484,434 × 484,434
  4. Step 4: Simplify right side
    224,380.13x = 234,676,300,356
  5. Step 5: Solve for x
    x = 234,676,300,356/224,380.13
  6. Step 6: Final answer
    x = 1,045,887.20

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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.