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Finding the Third Proportional to 258,687.75 and 386,438.50

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Solution

The third proportional to 258,687.75 and 386,438.50 is: 577,277.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,687.75 : 386,438.50 = 386,438.50 : x
  2. Step 2: Convert to fraction form
    258,687.75/386,438.50 = 386,438.50/x
  3. Step 3: Cross multiply
    258,687.75x = 386,438.50 × 386,438.50
  4. Step 4: Simplify right side
    258,687.75x = 149,334,714,282.25
  5. Step 5: Solve for x
    x = 149,334,714,282.25/258,687.75
  6. Step 6: Final answer
    x = 577,277.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.