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Finding the Third Proportional to 237,674 and 516,332

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Solution

The third proportional to 237,674 and 516,332 is: 1,121,699.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,674 : 516,332 = 516,332 : x
  2. Step 2: Convert to fraction form
    237,674/516,332 = 516,332/x
  3. Step 3: Cross multiply
    237,674x = 516,332 × 516,332
  4. Step 4: Simplify right side
    237,674x = 266,598,734,224
  5. Step 5: Solve for x
    x = 266,598,734,224/237,674
  6. Step 6: Final answer
    x = 1,121,699.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.