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Finding the Third Proportional to 288,562.50 and 431,228.81

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Solution

The third proportional to 288,562.50 and 431,228.81 is: 644,429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,562.50 : 431,228.81 = 431,228.81 : x
  2. Step 2: Convert to fraction form
    288,562.50/431,228.81 = 431,228.81/x
  3. Step 3: Cross multiply
    288,562.50x = 431,228.81 × 431,228.81
  4. Step 4: Simplify right side
    288,562.50x = 185,958,288,730.16
  5. Step 5: Solve for x
    x = 185,958,288,730.16/288,562.50
  6. Step 6: Final answer
    x = 644,429.85

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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.