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Finding the Third Proportional to 250,623 and 383,873

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Solution

The third proportional to 250,623 and 383,873 is: 587,968.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,623 : 383,873 = 383,873 : x
  2. Step 2: Convert to fraction form
    250,623/383,873 = 383,873/x
  3. Step 3: Cross multiply
    250,623x = 383,873 × 383,873
  4. Step 4: Simplify right side
    250,623x = 147,358,480,129
  5. Step 5: Solve for x
    x = 147,358,480,129/250,623
  6. Step 6: Final answer
    x = 587,968.70

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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.