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Finding the Third Proportional to 338,422.50 and 752,492.25

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Solution

The third proportional to 338,422.50 and 752,492.25 is: 1,673,188.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,422.50 : 752,492.25 = 752,492.25 : x
  2. Step 2: Convert to fraction form
    338,422.50/752,492.25 = 752,492.25/x
  3. Step 3: Cross multiply
    338,422.50x = 752,492.25 × 752,492.25
  4. Step 4: Simplify right side
    338,422.50x = 566,244,586,310.06
  5. Step 5: Solve for x
    x = 566,244,586,310.06/338,422.50
  6. Step 6: Final answer
    x = 1,673,188.36

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.