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Finding the Third Proportional to 334,000 and 516,558

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Solution

The third proportional to 334,000 and 516,558 is: 798,898.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,000 : 516,558 = 516,558 : x
  2. Step 2: Convert to fraction form
    334,000/516,558 = 516,558/x
  3. Step 3: Cross multiply
    334,000x = 516,558 × 516,558
  4. Step 4: Simplify right side
    334,000x = 266,832,167,364
  5. Step 5: Solve for x
    x = 266,832,167,364/334,000
  6. Step 6: Final answer
    x = 798,898.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.