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Finding the Third Proportional to 903,649.50 and 1,204,729.88

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Solution

The third proportional to 903,649.50 and 1,204,729.88 is: 1,606,125.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,649.50 : 1,204,729.88 = 1,204,729.88 : x
  2. Step 2: Convert to fraction form
    903,649.50/1,204,729.88 = 1,204,729.88/x
  3. Step 3: Cross multiply
    903,649.50x = 1,204,729.88 × 1,204,729.88
  4. Step 4: Simplify right side
    903,649.50x = 1,451,374,071,717.52
  5. Step 5: Solve for x
    x = 1,451,374,071,717.52/903,649.50
  6. Step 6: Final answer
    x = 1,606,125.02

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.