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Finding the Third Proportional to 767,350.50 and 1,203,742.50

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Solution

The third proportional to 767,350.50 and 1,203,742.50 is: 1,888,310.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,350.50 : 1,203,742.50 = 1,203,742.50 : x
  2. Step 2: Convert to fraction form
    767,350.50/1,203,742.50 = 1,203,742.50/x
  3. Step 3: Cross multiply
    767,350.50x = 1,203,742.50 × 1,203,742.50
  4. Step 4: Simplify right side
    767,350.50x = 1,448,996,006,306.25
  5. Step 5: Solve for x
    x = 1,448,996,006,306.25/767,350.50
  6. Step 6: Final answer
    x = 1,888,310.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.