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Finding the Third Proportional to 283,796.50 and 426,886.50

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Solution

The third proportional to 283,796.50 and 426,886.50 is: 642,122.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,796.50 : 426,886.50 = 426,886.50 : x
  2. Step 2: Convert to fraction form
    283,796.50/426,886.50 = 426,886.50/x
  3. Step 3: Cross multiply
    283,796.50x = 426,886.50 × 426,886.50
  4. Step 4: Simplify right side
    283,796.50x = 182,232,083,882.25
  5. Step 5: Solve for x
    x = 182,232,083,882.25/283,796.50
  6. Step 6: Final answer
    x = 642,122.38

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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.