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Finding the Third Proportional to 258,652.50 and 399,049.50

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Solution

The third proportional to 258,652.50 and 399,049.50 is: 615,654.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,652.50 : 399,049.50 = 399,049.50 : x
  2. Step 2: Convert to fraction form
    258,652.50/399,049.50 = 399,049.50/x
  3. Step 3: Cross multiply
    258,652.50x = 399,049.50 × 399,049.50
  4. Step 4: Simplify right side
    258,652.50x = 159,240,503,450.25
  5. Step 5: Solve for x
    x = 159,240,503,450.25/258,652.50
  6. Step 6: Final answer
    x = 615,654.22

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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.