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Finding the Third Proportional to 224,559 and 484,731

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Solution

The third proportional to 224,559 and 484,731 is: 1,046,335.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,559 : 484,731 = 484,731 : x
  2. Step 2: Convert to fraction form
    224,559/484,731 = 484,731/x
  3. Step 3: Cross multiply
    224,559x = 484,731 × 484,731
  4. Step 4: Simplify right side
    224,559x = 234,964,142,361
  5. Step 5: Solve for x
    x = 234,964,142,361/224,559
  6. Step 6: Final answer
    x = 1,046,335.90

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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.