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Finding the Third Proportional to 386,725.50 and 832,692.50

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Solution

The third proportional to 386,725.50 and 832,692.50 is: 1,792,943.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,725.50 : 832,692.50 = 832,692.50 : x
  2. Step 2: Convert to fraction form
    386,725.50/832,692.50 = 832,692.50/x
  3. Step 3: Cross multiply
    386,725.50x = 832,692.50 × 832,692.50
  4. Step 4: Simplify right side
    386,725.50x = 693,376,799,556.25
  5. Step 5: Solve for x
    x = 693,376,799,556.25/386,725.50
  6. Step 6: Final answer
    x = 1,792,943.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.