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Finding the Third Proportional to 365,648 and 815,320

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Solution

The third proportional to 365,648 and 815,320 is: 1,817,996.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,648 : 815,320 = 815,320 : x
  2. Step 2: Convert to fraction form
    365,648/815,320 = 815,320/x
  3. Step 3: Cross multiply
    365,648x = 815,320 × 815,320
  4. Step 4: Simplify right side
    365,648x = 664,746,702,400
  5. Step 5: Solve for x
    x = 664,746,702,400/365,648
  6. Step 6: Final answer
    x = 1,817,996.28

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.