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Finding the Third Proportional to 349,211.25 and 762,392.25

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Solution

The third proportional to 349,211.25 and 762,392.25 is: 1,664,442.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,211.25 : 762,392.25 = 762,392.25 : x
  2. Step 2: Convert to fraction form
    349,211.25/762,392.25 = 762,392.25/x
  3. Step 3: Cross multiply
    349,211.25x = 762,392.25 × 762,392.25
  4. Step 4: Simplify right side
    349,211.25x = 581,241,942,860.06
  5. Step 5: Solve for x
    x = 581,241,942,860.06/349,211.25
  6. Step 6: Final answer
    x = 1,664,442.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.