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Finding the Third Proportional to 237,654 and 516,294

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Solution

The third proportional to 237,654 and 516,294 is: 1,121,628.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,654 : 516,294 = 516,294 : x
  2. Step 2: Convert to fraction form
    237,654/516,294 = 516,294/x
  3. Step 3: Cross multiply
    237,654x = 516,294 × 516,294
  4. Step 4: Simplify right side
    237,654x = 266,559,494,436
  5. Step 5: Solve for x
    x = 266,559,494,436/237,654
  6. Step 6: Final answer
    x = 1,121,628.48

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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.