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Finding the Third Proportional to 508,524 and 743,692

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Solution

The third proportional to 508,524 and 743,692 is: 1,087,613.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,524 : 743,692 = 743,692 : x
  2. Step 2: Convert to fraction form
    508,524/743,692 = 743,692/x
  3. Step 3: Cross multiply
    508,524x = 743,692 × 743,692
  4. Step 4: Simplify right side
    508,524x = 553,077,790,864
  5. Step 5: Solve for x
    x = 553,077,790,864/508,524
  6. Step 6: Final answer
    x = 1,087,613.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.