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Finding the Third Proportional to 339,549 and 516,700.50

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Solution

The third proportional to 339,549 and 516,700.50 is: 786,276.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,549 : 516,700.50 = 516,700.50 : x
  2. Step 2: Convert to fraction form
    339,549/516,700.50 = 516,700.50/x
  3. Step 3: Cross multiply
    339,549x = 516,700.50 × 516,700.50
  4. Step 4: Simplify right side
    339,549x = 266,979,406,700.25
  5. Step 5: Solve for x
    x = 266,979,406,700.25/339,549
  6. Step 6: Final answer
    x = 786,276.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.