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Finding the Third Proportional to 283,320 and 619,200

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Solution

The third proportional to 283,320 and 619,200 is: 1,353,270.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,320 : 619,200 = 619,200 : x
  2. Step 2: Convert to fraction form
    283,320/619,200 = 619,200/x
  3. Step 3: Cross multiply
    283,320x = 619,200 × 619,200
  4. Step 4: Simplify right side
    283,320x = 383,408,640,000
  5. Step 5: Solve for x
    x = 383,408,640,000/283,320
  6. Step 6: Final answer
    x = 1,353,270.65

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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.