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Finding the Third Proportional to 479,610 and 739,101

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Solution

The third proportional to 479,610 and 739,101 is: 1,138,988.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,610 : 739,101 = 739,101 : x
  2. Step 2: Convert to fraction form
    479,610/739,101 = 739,101/x
  3. Step 3: Cross multiply
    479,610x = 739,101 × 739,101
  4. Step 4: Simplify right side
    479,610x = 546,270,288,201
  5. Step 5: Solve for x
    x = 546,270,288,201/479,610
  6. Step 6: Final answer
    x = 1,138,988.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.