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Finding the Third Proportional to 350,704.50 and 767,011.50

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Solution

The third proportional to 350,704.50 and 767,011.50 is: 1,677,499.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,704.50 : 767,011.50 = 767,011.50 : x
  2. Step 2: Convert to fraction form
    350,704.50/767,011.50 = 767,011.50/x
  3. Step 3: Cross multiply
    350,704.50x = 767,011.50 × 767,011.50
  4. Step 4: Simplify right side
    350,704.50x = 588,306,641,132.25
  5. Step 5: Solve for x
    x = 588,306,641,132.25/350,704.50
  6. Step 6: Final answer
    x = 1,677,499.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.