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Finding the Third Proportional to 370,727.50 and 767,690

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Solution

The third proportional to 370,727.50 and 767,690 is: 1,589,706.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,727.50 : 767,690 = 767,690 : x
  2. Step 2: Convert to fraction form
    370,727.50/767,690 = 767,690/x
  3. Step 3: Cross multiply
    370,727.50x = 767,690 × 767,690
  4. Step 4: Simplify right side
    370,727.50x = 589,347,936,100
  5. Step 5: Solve for x
    x = 589,347,936,100/370,727.50
  6. Step 6: Final answer
    x = 1,589,706.55

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.