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Finding the Third Proportional to 237,033 and 516,672

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Solution

The third proportional to 237,033 and 516,672 is: 1,126,214.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,033 : 516,672 = 516,672 : x
  2. Step 2: Convert to fraction form
    237,033/516,672 = 516,672/x
  3. Step 3: Cross multiply
    237,033x = 516,672 × 516,672
  4. Step 4: Simplify right side
    237,033x = 266,949,955,584
  5. Step 5: Solve for x
    x = 266,949,955,584/237,033
  6. Step 6: Final answer
    x = 1,126,214.31

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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.