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Finding the Third Proportional to 229,350 and 486,564

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Solution

The third proportional to 229,350 and 486,564 is: 1,032,241.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,350 : 486,564 = 486,564 : x
  2. Step 2: Convert to fraction form
    229,350/486,564 = 486,564/x
  3. Step 3: Cross multiply
    229,350x = 486,564 × 486,564
  4. Step 4: Simplify right side
    229,350x = 236,744,526,096
  5. Step 5: Solve for x
    x = 236,744,526,096/229,350
  6. Step 6: Final answer
    x = 1,032,241.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.