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Finding the Third Proportional to 283,408 and 619,520

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Solution

The third proportional to 283,408 and 619,520 is: 1,354,249.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,408 : 619,520 = 619,520 : x
  2. Step 2: Convert to fraction form
    283,408/619,520 = 619,520/x
  3. Step 3: Cross multiply
    283,408x = 619,520 × 619,520
  4. Step 4: Simplify right side
    283,408x = 383,805,030,400
  5. Step 5: Solve for x
    x = 383,805,030,400/283,408
  6. Step 6: Final answer
    x = 1,354,249.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.