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Finding the Third Proportional to 493,262 and 739,959

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Solution

The third proportional to 493,262 and 739,959 is: 1,110,037.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,262 : 739,959 = 739,959 : x
  2. Step 2: Convert to fraction form
    493,262/739,959 = 739,959/x
  3. Step 3: Cross multiply
    493,262x = 739,959 × 739,959
  4. Step 4: Simplify right side
    493,262x = 547,539,321,681
  5. Step 5: Solve for x
    x = 547,539,321,681/493,262
  6. Step 6: Final answer
    x = 1,110,037.51

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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.