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Finding the Third Proportional to 241,382 and 521,608

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Solution

The third proportional to 241,382 and 521,608 is: 1,127,154.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,382 : 521,608 = 521,608 : x
  2. Step 2: Convert to fraction form
    241,382/521,608 = 521,608/x
  3. Step 3: Cross multiply
    241,382x = 521,608 × 521,608
  4. Step 4: Simplify right side
    241,382x = 272,074,905,664
  5. Step 5: Solve for x
    x = 272,074,905,664/241,382
  6. Step 6: Final answer
    x = 1,127,154.91

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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.