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Finding the Third Proportional to 334,867.50 and 510,162.75

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Solution

The third proportional to 334,867.50 and 510,162.75 is: 777,220.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,867.50 : 510,162.75 = 510,162.75 : x
  2. Step 2: Convert to fraction form
    334,867.50/510,162.75 = 510,162.75/x
  3. Step 3: Cross multiply
    334,867.50x = 510,162.75 × 510,162.75
  4. Step 4: Simplify right side
    334,867.50x = 260,266,031,487.56
  5. Step 5: Solve for x
    x = 260,266,031,487.56/334,867.50
  6. Step 6: Final answer
    x = 777,220.94

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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.