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Finding the Third Proportional to 257,833.13 and 387,235.69

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Solution

The third proportional to 257,833.13 and 387,235.69 is: 581,583.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,833.13 : 387,235.69 = 387,235.69 : x
  2. Step 2: Convert to fraction form
    257,833.13/387,235.69 = 387,235.69/x
  3. Step 3: Cross multiply
    257,833.13x = 387,235.69 × 387,235.69
  4. Step 4: Simplify right side
    257,833.13x = 149,951,477,673.60
  5. Step 5: Solve for x
    x = 149,951,477,673.60/257,833.13
  6. Step 6: Final answer
    x = 581,583.45

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