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Finding the Third Proportional to 382,248 and 534,636

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Solution

The third proportional to 382,248 and 534,636 is: 747,775.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,248 : 534,636 = 534,636 : x
  2. Step 2: Convert to fraction form
    382,248/534,636 = 534,636/x
  3. Step 3: Cross multiply
    382,248x = 534,636 × 534,636
  4. Step 4: Simplify right side
    382,248x = 285,835,652,496
  5. Step 5: Solve for x
    x = 285,835,652,496/382,248
  6. Step 6: Final answer
    x = 747,775.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.