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Finding the Third Proportional to 463,571 and 717,408

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Solution

The third proportional to 463,571 and 717,408 is: 1,110,238.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,571 : 717,408 = 717,408 : x
  2. Step 2: Convert to fraction form
    463,571/717,408 = 717,408/x
  3. Step 3: Cross multiply
    463,571x = 717,408 × 717,408
  4. Step 4: Simplify right side
    463,571x = 514,674,238,464
  5. Step 5: Solve for x
    x = 514,674,238,464/463,571
  6. Step 6: Final answer
    x = 1,110,238.21

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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.