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Finding the Third Proportional to 283,394 and 619,492

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Solution

The third proportional to 283,394 and 619,492 is: 1,354,193.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,394 : 619,492 = 619,492 : x
  2. Step 2: Convert to fraction form
    283,394/619,492 = 619,492/x
  3. Step 3: Cross multiply
    283,394x = 619,492 × 619,492
  4. Step 4: Simplify right side
    283,394x = 383,770,338,064
  5. Step 5: Solve for x
    x = 383,770,338,064/283,394
  6. Step 6: Final answer
    x = 1,354,193.59

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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.