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Finding the Third Proportional to 283,448 and 616,715

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Solution

The third proportional to 283,448 and 616,715 is: 1,341,824.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,448 : 616,715 = 616,715 : x
  2. Step 2: Convert to fraction form
    283,448/616,715 = 616,715/x
  3. Step 3: Cross multiply
    283,448x = 616,715 × 616,715
  4. Step 4: Simplify right side
    283,448x = 380,337,391,225
  5. Step 5: Solve for x
    x = 380,337,391,225/283,448
  6. Step 6: Final answer
    x = 1,341,824.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.