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Finding the Third Proportional to 240,644 and 383,238

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Solution

The third proportional to 240,644 and 383,238 is: 610,326.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,644 : 383,238 = 383,238 : x
  2. Step 2: Convert to fraction form
    240,644/383,238 = 383,238/x
  3. Step 3: Cross multiply
    240,644x = 383,238 × 383,238
  4. Step 4: Simplify right side
    240,644x = 146,871,364,644
  5. Step 5: Solve for x
    x = 146,871,364,644/240,644
  6. Step 6: Final answer
    x = 610,326.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.