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Finding the Third Proportional to 229,542 and 497,200

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Solution

The third proportional to 229,542 and 497,200 is: 1,076,961.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,542 : 497,200 = 497,200 : x
  2. Step 2: Convert to fraction form
    229,542/497,200 = 497,200/x
  3. Step 3: Cross multiply
    229,542x = 497,200 × 497,200
  4. Step 4: Simplify right side
    229,542x = 247,207,840,000
  5. Step 5: Solve for x
    x = 247,207,840,000/229,542
  6. Step 6: Final answer
    x = 1,076,961.25

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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.