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Finding the Third Proportional to 518,101.50 and 799,302

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Solution

The third proportional to 518,101.50 and 799,302 is: 1,233,124.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,101.50 : 799,302 = 799,302 : x
  2. Step 2: Convert to fraction form
    518,101.50/799,302 = 799,302/x
  3. Step 3: Cross multiply
    518,101.50x = 799,302 × 799,302
  4. Step 4: Simplify right side
    518,101.50x = 638,883,687,204
  5. Step 5: Solve for x
    x = 638,883,687,204/518,101.50
  6. Step 6: Final answer
    x = 1,233,124.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.