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Finding the Third Proportional to 229,466 and 497,060

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Solution

The third proportional to 229,466 and 497,060 is: 1,076,711.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,466 : 497,060 = 497,060 : x
  2. Step 2: Convert to fraction form
    229,466/497,060 = 497,060/x
  3. Step 3: Cross multiply
    229,466x = 497,060 × 497,060
  4. Step 4: Simplify right side
    229,466x = 247,068,643,600
  5. Step 5: Solve for x
    x = 247,068,643,600/229,466
  6. Step 6: Final answer
    x = 1,076,711.34

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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.