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Finding the Third Proportional to 232,506 and 486,040.50

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Solution

The third proportional to 232,506 and 486,040.50 is: 1,016,039.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,506 : 486,040.50 = 486,040.50 : x
  2. Step 2: Convert to fraction form
    232,506/486,040.50 = 486,040.50/x
  3. Step 3: Cross multiply
    232,506x = 486,040.50 × 486,040.50
  4. Step 4: Simplify right side
    232,506x = 236,235,367,640.25
  5. Step 5: Solve for x
    x = 236,235,367,640.25/232,506
  6. Step 6: Final answer
    x = 1,016,039.88

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.