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Finding the Third Proportional to 491,216 and 738,647

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Solution

The third proportional to 491,216 and 738,647 is: 1,110,711.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,216 : 738,647 = 738,647 : x
  2. Step 2: Convert to fraction form
    491,216/738,647 = 738,647/x
  3. Step 3: Cross multiply
    491,216x = 738,647 × 738,647
  4. Step 4: Simplify right side
    491,216x = 545,599,390,609
  5. Step 5: Solve for x
    x = 545,599,390,609/491,216
  6. Step 6: Final answer
    x = 1,110,711.77

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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.