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Finding the Third Proportional to 486,182.25 and 769,230

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Solution

The third proportional to 486,182.25 and 769,230 is: 1,217,063.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,182.25 : 769,230 = 769,230 : x
  2. Step 2: Convert to fraction form
    486,182.25/769,230 = 769,230/x
  3. Step 3: Cross multiply
    486,182.25x = 769,230 × 769,230
  4. Step 4: Simplify right side
    486,182.25x = 591,714,792,900
  5. Step 5: Solve for x
    x = 591,714,792,900/486,182.25
  6. Step 6: Final answer
    x = 1,217,063.75

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.