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Finding the Third Proportional to 250,637 and 383,894

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Solution

The third proportional to 250,637 and 383,894 is: 588,000.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,637 : 383,894 = 383,894 : x
  2. Step 2: Convert to fraction form
    250,637/383,894 = 383,894/x
  3. Step 3: Cross multiply
    250,637x = 383,894 × 383,894
  4. Step 4: Simplify right side
    250,637x = 147,374,603,236
  5. Step 5: Solve for x
    x = 147,374,603,236/250,637
  6. Step 6: Final answer
    x = 588,000.19

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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.