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Finding the Third Proportional to 361,110 and 782,484

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Solution

The third proportional to 361,110 and 782,484 is: 1,695,553.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,110 : 782,484 = 782,484 : x
  2. Step 2: Convert to fraction form
    361,110/782,484 = 782,484/x
  3. Step 3: Cross multiply
    361,110x = 782,484 × 782,484
  4. Step 4: Simplify right side
    361,110x = 612,281,210,256
  5. Step 5: Solve for x
    x = 612,281,210,256/361,110
  6. Step 6: Final answer
    x = 1,695,553.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.