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Finding the Third Proportional to 236,932.59 and 490,632.19

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Solution

The third proportional to 236,932.59 and 490,632.19 is: 1,015,984.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,932.59 : 490,632.19 = 490,632.19 : x
  2. Step 2: Convert to fraction form
    236,932.59/490,632.19 = 490,632.19/x
  3. Step 3: Cross multiply
    236,932.59x = 490,632.19 × 490,632.19
  4. Step 4: Simplify right side
    236,932.59x = 240,719,943,411.04
  5. Step 5: Solve for x
    x = 240,719,943,411.04/236,932.59
  6. Step 6: Final answer
    x = 1,015,984.92

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.