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Finding the Third Proportional to 542,448 and 817,632

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Solution

The third proportional to 542,448 and 817,632 is: 1,232,416.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,448 : 817,632 = 817,632 : x
  2. Step 2: Convert to fraction form
    542,448/817,632 = 817,632/x
  3. Step 3: Cross multiply
    542,448x = 817,632 × 817,632
  4. Step 4: Simplify right side
    542,448x = 668,522,087,424
  5. Step 5: Solve for x
    x = 668,522,087,424/542,448
  6. Step 6: Final answer
    x = 1,232,416.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.