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Finding the Third Proportional to 728,365.50 and 1,601,262

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Solution

The third proportional to 728,365.50 and 1,601,262 is: 3,520,265.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,365.50 : 1,601,262 = 1,601,262 : x
  2. Step 2: Convert to fraction form
    728,365.50/1,601,262 = 1,601,262/x
  3. Step 3: Cross multiply
    728,365.50x = 1,601,262 × 1,601,262
  4. Step 4: Simplify right side
    728,365.50x = 2,564,039,992,644
  5. Step 5: Solve for x
    x = 2,564,039,992,644/728,365.50
  6. Step 6: Final answer
    x = 3,520,265.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.