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Finding the Third Proportional to 532,101 and 826,132

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Solution

The third proportional to 532,101 and 826,132 is: 1,282,640.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,101 : 826,132 = 826,132 : x
  2. Step 2: Convert to fraction form
    532,101/826,132 = 826,132/x
  3. Step 3: Cross multiply
    532,101x = 826,132 × 826,132
  4. Step 4: Simplify right side
    532,101x = 682,494,081,424
  5. Step 5: Solve for x
    x = 682,494,081,424/532,101
  6. Step 6: Final answer
    x = 1,282,640.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.