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Finding the Third Proportional to 250,644 and 383,904

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Solution

The third proportional to 250,644 and 383,904 is: 588,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,644 : 383,904 = 383,904 : x
  2. Step 2: Convert to fraction form
    250,644/383,904 = 383,904/x
  3. Step 3: Cross multiply
    250,644x = 383,904 × 383,904
  4. Step 4: Simplify right side
    250,644x = 147,382,281,216
  5. Step 5: Solve for x
    x = 147,382,281,216/250,644
  6. Step 6: Final answer
    x = 588,014.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.