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Finding the Third Proportional to 379,085.06 and 833,986.13

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Solution

The third proportional to 379,085.06 and 833,986.13 is: 1,834,767.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,085.06 : 833,986.13 = 833,986.13 : x
  2. Step 2: Convert to fraction form
    379,085.06/833,986.13 = 833,986.13/x
  3. Step 3: Cross multiply
    379,085.06x = 833,986.13 × 833,986.13
  4. Step 4: Simplify right side
    379,085.06x = 695,532,856,692.52
  5. Step 5: Solve for x
    x = 695,532,856,692.52/379,085.06
  6. Step 6: Final answer
    x = 1,834,767.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.