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Finding the Third Proportional to 483,842 and 752,259

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Solution

The third proportional to 483,842 and 752,259 is: 1,169,583.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,842 : 752,259 = 752,259 : x
  2. Step 2: Convert to fraction form
    483,842/752,259 = 752,259/x
  3. Step 3: Cross multiply
    483,842x = 752,259 × 752,259
  4. Step 4: Simplify right side
    483,842x = 565,893,603,081
  5. Step 5: Solve for x
    x = 565,893,603,081/483,842
  6. Step 6: Final answer
    x = 1,169,583.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.