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Finding the Third Proportional to 600,042 and 876,364

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Solution

The third proportional to 600,042 and 876,364 is: 1,279,933.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,042 : 876,364 = 876,364 : x
  2. Step 2: Convert to fraction form
    600,042/876,364 = 876,364/x
  3. Step 3: Cross multiply
    600,042x = 876,364 × 876,364
  4. Step 4: Simplify right side
    600,042x = 768,013,860,496
  5. Step 5: Solve for x
    x = 768,013,860,496/600,042
  6. Step 6: Final answer
    x = 1,279,933.51

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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.