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Finding the Third Proportional to 288,232.17 and 611,929.69

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Solution

The third proportional to 288,232.17 and 611,929.69 is: 1,299,153.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,232.17 : 611,929.69 = 611,929.69 : x
  2. Step 2: Convert to fraction form
    288,232.17/611,929.69 = 611,929.69/x
  3. Step 3: Cross multiply
    288,232.17x = 611,929.69 × 611,929.69
  4. Step 4: Simplify right side
    288,232.17x = 374,457,942,443.85
  5. Step 5: Solve for x
    x = 374,457,942,443.85/288,232.17
  6. Step 6: Final answer
    x = 1,299,153.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.