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Finding the Third Proportional to 532,201 and 826,329

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Solution

The third proportional to 532,201 and 826,329 is: 1,283,010.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,201 : 826,329 = 826,329 : x
  2. Step 2: Convert to fraction form
    532,201/826,329 = 826,329/x
  3. Step 3: Cross multiply
    532,201x = 826,329 × 826,329
  4. Step 4: Simplify right side
    532,201x = 682,819,616,241
  5. Step 5: Solve for x
    x = 682,819,616,241/532,201
  6. Step 6: Final answer
    x = 1,283,010.77

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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.