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Finding the Third Proportional to 334,005 and 516,559.50

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Solution

The third proportional to 334,005 and 516,559.50 is: 798,891.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,005 : 516,559.50 = 516,559.50 : x
  2. Step 2: Convert to fraction form
    334,005/516,559.50 = 516,559.50/x
  3. Step 3: Cross multiply
    334,005x = 516,559.50 × 516,559.50
  4. Step 4: Simplify right side
    334,005x = 266,833,717,040.25
  5. Step 5: Solve for x
    x = 266,833,717,040.25/334,005
  6. Step 6: Final answer
    x = 798,891.38

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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.