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Finding the Third Proportional to 283,826.50 and 426,924.50

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Solution

The third proportional to 283,826.50 and 426,924.50 is: 642,168.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,826.50 : 426,924.50 = 426,924.50 : x
  2. Step 2: Convert to fraction form
    283,826.50/426,924.50 = 426,924.50/x
  3. Step 3: Cross multiply
    283,826.50x = 426,924.50 × 426,924.50
  4. Step 4: Simplify right side
    283,826.50x = 182,264,528,700.25
  5. Step 5: Solve for x
    x = 182,264,528,700.25/283,826.50
  6. Step 6: Final answer
    x = 642,168.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.