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Finding the Third Proportional to 491,223 and 738,657

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Solution

The third proportional to 491,223 and 738,657 is: 1,110,726.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,223 : 738,657 = 738,657 : x
  2. Step 2: Convert to fraction form
    491,223/738,657 = 738,657/x
  3. Step 3: Cross multiply
    491,223x = 738,657 × 738,657
  4. Step 4: Simplify right side
    491,223x = 545,614,163,649
  5. Step 5: Solve for x
    x = 545,614,163,649/491,223
  6. Step 6: Final answer
    x = 1,110,726.01

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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.