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Finding the Third Proportional to 579,044 and 878,408

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Solution

The third proportional to 579,044 and 878,408 is: 1,332,542.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,044 : 878,408 = 878,408 : x
  2. Step 2: Convert to fraction form
    579,044/878,408 = 878,408/x
  3. Step 3: Cross multiply
    579,044x = 878,408 × 878,408
  4. Step 4: Simplify right side
    579,044x = 771,600,614,464
  5. Step 5: Solve for x
    x = 771,600,614,464/579,044
  6. Step 6: Final answer
    x = 1,332,542.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.