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Finding the Third Proportional to 241,627 and 523,076

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Solution

The third proportional to 241,627 and 523,076 is: 1,132,358.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,627 : 523,076 = 523,076 : x
  2. Step 2: Convert to fraction form
    241,627/523,076 = 523,076/x
  3. Step 3: Cross multiply
    241,627x = 523,076 × 523,076
  4. Step 4: Simplify right side
    241,627x = 273,608,501,776
  5. Step 5: Solve for x
    x = 273,608,501,776/241,627
  6. Step 6: Final answer
    x = 1,132,358.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.