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Finding the Third Proportional to 369,139.50 and 767,742.75

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Solution

The third proportional to 369,139.50 and 767,742.75 is: 1,596,764.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,139.50 : 767,742.75 = 767,742.75 : x
  2. Step 2: Convert to fraction form
    369,139.50/767,742.75 = 767,742.75/x
  3. Step 3: Cross multiply
    369,139.50x = 767,742.75 × 767,742.75
  4. Step 4: Simplify right side
    369,139.50x = 589,428,930,177.56
  5. Step 5: Solve for x
    x = 589,428,930,177.56/369,139.50
  6. Step 6: Final answer
    x = 1,596,764.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.