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Finding the Third Proportional to 523,398.50 and 1,150,017

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Solution

The third proportional to 523,398.50 and 1,150,017 is: 2,526,830.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,398.50 : 1,150,017 = 1,150,017 : x
  2. Step 2: Convert to fraction form
    523,398.50/1,150,017 = 1,150,017/x
  3. Step 3: Cross multiply
    523,398.50x = 1,150,017 × 1,150,017
  4. Step 4: Simplify right side
    523,398.50x = 1,322,539,100,289
  5. Step 5: Solve for x
    x = 1,322,539,100,289/523,398.50
  6. Step 6: Final answer
    x = 2,526,830.13

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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.