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Finding the Third Proportional to 224,730 and 486,883

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Solution

The third proportional to 224,730 and 486,883 is: 1,054,843.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,730 : 486,883 = 486,883 : x
  2. Step 2: Convert to fraction form
    224,730/486,883 = 486,883/x
  3. Step 3: Cross multiply
    224,730x = 486,883 × 486,883
  4. Step 4: Simplify right side
    224,730x = 237,055,055,689
  5. Step 5: Solve for x
    x = 237,055,055,689/224,730
  6. Step 6: Final answer
    x = 1,054,843.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.