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Finding the Third Proportional to 532,654 and 749,212

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Solution

The third proportional to 532,654 and 749,212 is: 1,053,814.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,654 : 749,212 = 749,212 : x
  2. Step 2: Convert to fraction form
    532,654/749,212 = 749,212/x
  3. Step 3: Cross multiply
    532,654x = 749,212 × 749,212
  4. Step 4: Simplify right side
    532,654x = 561,318,620,944
  5. Step 5: Solve for x
    x = 561,318,620,944/532,654
  6. Step 6: Final answer
    x = 1,053,814.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.