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Finding the Third Proportional to 491,216 and 738,646

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Solution

The third proportional to 491,216 and 738,646 is: 1,110,708.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,216 : 738,646 = 738,646 : x
  2. Step 2: Convert to fraction form
    491,216/738,646 = 738,646/x
  3. Step 3: Cross multiply
    491,216x = 738,646 × 738,646
  4. Step 4: Simplify right side
    491,216x = 545,597,913,316
  5. Step 5: Solve for x
    x = 545,597,913,316/491,216
  6. Step 6: Final answer
    x = 1,110,708.76

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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.