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Finding the Third Proportional to 229,523 and 497,161

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Solution

The third proportional to 229,523 and 497,161 is: 1,076,881.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,523 : 497,161 = 497,161 : x
  2. Step 2: Convert to fraction form
    229,523/497,161 = 497,161/x
  3. Step 3: Cross multiply
    229,523x = 497,161 × 497,161
  4. Step 4: Simplify right side
    229,523x = 247,169,059,921
  5. Step 5: Solve for x
    x = 247,169,059,921/229,523
  6. Step 6: Final answer
    x = 1,076,881.45

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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.