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Finding the Third Proportional to 532,020 and 817,759

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Solution

The third proportional to 532,020 and 817,759 is: 1,256,963.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,020 : 817,759 = 817,759 : x
  2. Step 2: Convert to fraction form
    532,020/817,759 = 817,759/x
  3. Step 3: Cross multiply
    532,020x = 817,759 × 817,759
  4. Step 4: Simplify right side
    532,020x = 668,729,782,081
  5. Step 5: Solve for x
    x = 668,729,782,081/532,020
  6. Step 6: Final answer
    x = 1,256,963.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.