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Finding the Third Proportional to 491,135 and 738,525

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Solution

The third proportional to 491,135 and 738,525 is: 1,110,528.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,135 : 738,525 = 738,525 : x
  2. Step 2: Convert to fraction form
    491,135/738,525 = 738,525/x
  3. Step 3: Cross multiply
    491,135x = 738,525 × 738,525
  4. Step 4: Simplify right side
    491,135x = 545,419,175,625
  5. Step 5: Solve for x
    x = 545,419,175,625/491,135
  6. Step 6: Final answer
    x = 1,110,528.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.