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Finding the Third Proportional to 229,492 and 497,115

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Solution

The third proportional to 229,492 and 497,115 is: 1,076,827.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,492 : 497,115 = 497,115 : x
  2. Step 2: Convert to fraction form
    229,492/497,115 = 497,115/x
  3. Step 3: Cross multiply
    229,492x = 497,115 × 497,115
  4. Step 4: Simplify right side
    229,492x = 247,123,323,225
  5. Step 5: Solve for x
    x = 247,123,323,225/229,492
  6. Step 6: Final answer
    x = 1,076,827.62

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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.