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Finding the Third Proportional to 229,534 and 497,182

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Solution

The third proportional to 229,534 and 497,182 is: 1,076,920.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,534 : 497,182 = 497,182 : x
  2. Step 2: Convert to fraction form
    229,534/497,182 = 497,182/x
  3. Step 3: Cross multiply
    229,534x = 497,182 × 497,182
  4. Step 4: Simplify right side
    229,534x = 247,189,941,124
  5. Step 5: Solve for x
    x = 247,189,941,124/229,534
  6. Step 6: Final answer
    x = 1,076,920.81

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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.