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Finding the Third Proportional to 491,408 and 740,576

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Solution

The third proportional to 491,408 and 740,576 is: 1,116,084.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,408 : 740,576 = 740,576 : x
  2. Step 2: Convert to fraction form
    491,408/740,576 = 740,576/x
  3. Step 3: Cross multiply
    491,408x = 740,576 × 740,576
  4. Step 4: Simplify right side
    491,408x = 548,452,811,776
  5. Step 5: Solve for x
    x = 548,452,811,776/491,408
  6. Step 6: Final answer
    x = 1,116,084.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.