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Finding the Third Proportional to 766,867.50 and 1,660,692.38

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Solution

The third proportional to 766,867.50 and 1,660,692.38 is: 3,596,317.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,867.50 : 1,660,692.38 = 1,660,692.38 : x
  2. Step 2: Convert to fraction form
    766,867.50/1,660,692.38 = 1,660,692.38/x
  3. Step 3: Cross multiply
    766,867.50x = 1,660,692.38 × 1,660,692.38
  4. Step 4: Simplify right side
    766,867.50x = 2,757,899,164,383.14
  5. Step 5: Solve for x
    x = 2,757,899,164,383.14/766,867.50
  6. Step 6: Final answer
    x = 3,596,317.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.