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Finding the Third Proportional to 224,840 and 497,292

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Solution

The third proportional to 224,840 and 497,292 is: 1,099,890.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,840 : 497,292 = 497,292 : x
  2. Step 2: Convert to fraction form
    224,840/497,292 = 497,292/x
  3. Step 3: Cross multiply
    224,840x = 497,292 × 497,292
  4. Step 4: Simplify right side
    224,840x = 247,299,333,264
  5. Step 5: Solve for x
    x = 247,299,333,264/224,840
  6. Step 6: Final answer
    x = 1,099,890.29

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.