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Finding the Third Proportional to 394,298.72 and 590,779.83

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Solution

The third proportional to 394,298.72 and 590,779.83 is: 885,168.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,298.72 : 590,779.83 = 590,779.83 : x
  2. Step 2: Convert to fraction form
    394,298.72/590,779.83 = 590,779.83/x
  3. Step 3: Cross multiply
    394,298.72x = 590,779.83 × 590,779.83
  4. Step 4: Simplify right side
    394,298.72x = 349,020,805,319.41
  5. Step 5: Solve for x
    x = 349,020,805,319.41/394,298.72
  6. Step 6: Final answer
    x = 885,168.50

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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.