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Finding the Third Proportional to 288,928 and 383,476

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Solution

The third proportional to 288,928 and 383,476 is: 508,963.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,928 : 383,476 = 383,476 : x
  2. Step 2: Convert to fraction form
    288,928/383,476 = 383,476/x
  3. Step 3: Cross multiply
    288,928x = 383,476 × 383,476
  4. Step 4: Simplify right side
    288,928x = 147,053,842,576
  5. Step 5: Solve for x
    x = 147,053,842,576/288,928
  6. Step 6: Final answer
    x = 508,963.63

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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.