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Finding the Third Proportional to 288,204.75 and 433,235.25

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Solution

The third proportional to 288,204.75 and 433,235.25 is: 651,248.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,204.75 : 433,235.25 = 433,235.25 : x
  2. Step 2: Convert to fraction form
    288,204.75/433,235.25 = 433,235.25/x
  3. Step 3: Cross multiply
    288,204.75x = 433,235.25 × 433,235.25
  4. Step 4: Simplify right side
    288,204.75x = 187,692,781,842.56
  5. Step 5: Solve for x
    x = 187,692,781,842.56/288,204.75
  6. Step 6: Final answer
    x = 651,248.05

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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.