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Finding the Third Proportional to 285,903.50 and 420,539.25

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Solution

The third proportional to 285,903.50 and 420,539.25 is: 618,576.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,903.50 : 420,539.25 = 420,539.25 : x
  2. Step 2: Convert to fraction form
    285,903.50/420,539.25 = 420,539.25/x
  3. Step 3: Cross multiply
    285,903.50x = 420,539.25 × 420,539.25
  4. Step 4: Simplify right side
    285,903.50x = 176,853,260,790.56
  5. Step 5: Solve for x
    x = 176,853,260,790.56/285,903.50
  6. Step 6: Final answer
    x = 618,576.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.