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Finding the Third Proportional to 288,966 and 383,424

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Solution

The third proportional to 288,966 and 383,424 is: 508,758.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,966 : 383,424 = 383,424 : x
  2. Step 2: Convert to fraction form
    288,966/383,424 = 383,424/x
  3. Step 3: Cross multiply
    288,966x = 383,424 × 383,424
  4. Step 4: Simplify right side
    288,966x = 147,013,963,776
  5. Step 5: Solve for x
    x = 147,013,963,776/288,966
  6. Step 6: Final answer
    x = 508,758.69

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.