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Finding the Third Proportional to 339,475.50 and 510,063.75

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Solution

The third proportional to 339,475.50 and 510,063.75 is: 766,373.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,475.50 : 510,063.75 = 510,063.75 : x
  2. Step 2: Convert to fraction form
    339,475.50/510,063.75 = 510,063.75/x
  3. Step 3: Cross multiply
    339,475.50x = 510,063.75 × 510,063.75
  4. Step 4: Simplify right side
    339,475.50x = 260,165,029,064.06
  5. Step 5: Solve for x
    x = 260,165,029,064.06/339,475.50
  6. Step 6: Final answer
    x = 766,373.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.