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Finding the Third Proportional to 218,656 and 475,792

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Solution

The third proportional to 218,656 and 475,792 is: 1,035,315.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,656 : 475,792 = 475,792 : x
  2. Step 2: Convert to fraction form
    218,656/475,792 = 475,792/x
  3. Step 3: Cross multiply
    218,656x = 475,792 × 475,792
  4. Step 4: Simplify right side
    218,656x = 226,378,027,264
  5. Step 5: Solve for x
    x = 226,378,027,264/218,656
  6. Step 6: Final answer
    x = 1,035,315.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.