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Finding the Third Proportional to 491,136 and 738,524

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Solution

The third proportional to 491,136 and 738,524 is: 1,110,522.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,136 : 738,524 = 738,524 : x
  2. Step 2: Convert to fraction form
    491,136/738,524 = 738,524/x
  3. Step 3: Cross multiply
    491,136x = 738,524 × 738,524
  4. Step 4: Simplify right side
    491,136x = 545,417,698,576
  5. Step 5: Solve for x
    x = 545,417,698,576/491,136
  6. Step 6: Final answer
    x = 1,110,522.74

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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.