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Finding the Third Proportional to 250,632 and 383,886

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Solution

The third proportional to 250,632 and 383,886 is: 587,987.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,632 : 383,886 = 383,886 : x
  2. Step 2: Convert to fraction form
    250,632/383,886 = 383,886/x
  3. Step 3: Cross multiply
    250,632x = 383,886 × 383,886
  4. Step 4: Simplify right side
    250,632x = 147,368,460,996
  5. Step 5: Solve for x
    x = 147,368,460,996/250,632
  6. Step 6: Final answer
    x = 587,987.41

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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.