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Finding the Third Proportional to 285,913.97 and 616,113

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Solution

The third proportional to 285,913.97 and 616,113 is: 1,327,655.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,913.97 : 616,113 = 616,113 : x
  2. Step 2: Convert to fraction form
    285,913.97/616,113 = 616,113/x
  3. Step 3: Cross multiply
    285,913.97x = 616,113 × 616,113
  4. Step 4: Simplify right side
    285,913.97x = 379,595,228,769
  5. Step 5: Solve for x
    x = 379,595,228,769/285,913.97
  6. Step 6: Final answer
    x = 1,327,655.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.