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Finding the Third Proportional to 236,840 and 516,448

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Solution

The third proportional to 236,840 and 516,448 is: 1,126,154.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,840 : 516,448 = 516,448 : x
  2. Step 2: Convert to fraction form
    236,840/516,448 = 516,448/x
  3. Step 3: Cross multiply
    236,840x = 516,448 × 516,448
  4. Step 4: Simplify right side
    236,840x = 266,718,536,704
  5. Step 5: Solve for x
    x = 266,718,536,704/236,840
  6. Step 6: Final answer
    x = 1,126,154.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.