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Finding the Third Proportional to 537,096 and 752,910

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Solution

The third proportional to 537,096 and 752,910 is: 1,055,441.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,096 : 752,910 = 752,910 : x
  2. Step 2: Convert to fraction form
    537,096/752,910 = 752,910/x
  3. Step 3: Cross multiply
    537,096x = 752,910 × 752,910
  4. Step 4: Simplify right side
    537,096x = 566,873,468,100
  5. Step 5: Solve for x
    x = 566,873,468,100/537,096
  6. Step 6: Final answer
    x = 1,055,441.61

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.