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Finding the Third Proportional to 491,130 and 738,521

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Solution

The third proportional to 491,130 and 738,521 is: 1,110,527.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,130 : 738,521 = 738,521 : x
  2. Step 2: Convert to fraction form
    491,130/738,521 = 738,521/x
  3. Step 3: Cross multiply
    491,130x = 738,521 × 738,521
  4. Step 4: Simplify right side
    491,130x = 545,413,267,441
  5. Step 5: Solve for x
    x = 545,413,267,441/491,130
  6. Step 6: Final answer
    x = 1,110,527.29

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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.