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Finding the Third Proportional to 342,251 and 532,044

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Solution

The third proportional to 342,251 and 532,044 is: 827,085.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,251 : 532,044 = 532,044 : x
  2. Step 2: Convert to fraction form
    342,251/532,044 = 532,044/x
  3. Step 3: Cross multiply
    342,251x = 532,044 × 532,044
  4. Step 4: Simplify right side
    342,251x = 283,070,817,936
  5. Step 5: Solve for x
    x = 283,070,817,936/342,251
  6. Step 6: Final answer
    x = 827,085.44

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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.