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Finding the Third Proportional to 369,717.75 and 756,958.50

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Solution

The third proportional to 369,717.75 and 756,958.50 is: 1,549,793.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,717.75 : 756,958.50 = 756,958.50 : x
  2. Step 2: Convert to fraction form
    369,717.75/756,958.50 = 756,958.50/x
  3. Step 3: Cross multiply
    369,717.75x = 756,958.50 × 756,958.50
  4. Step 4: Simplify right side
    369,717.75x = 572,986,170,722.25
  5. Step 5: Solve for x
    x = 572,986,170,722.25/369,717.75
  6. Step 6: Final answer
    x = 1,549,793.51

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.