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Finding the Third Proportional to 296,775.50 and 699,867.25

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Solution

The third proportional to 296,775.50 and 699,867.25 is: 1,650,453.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,775.50 : 699,867.25 = 699,867.25 : x
  2. Step 2: Convert to fraction form
    296,775.50/699,867.25 = 699,867.25/x
  3. Step 3: Cross multiply
    296,775.50x = 699,867.25 × 699,867.25
  4. Step 4: Simplify right side
    296,775.50x = 489,814,167,622.56
  5. Step 5: Solve for x
    x = 489,814,167,622.56/296,775.50
  6. Step 6: Final answer
    x = 1,650,453.52

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.