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Finding the Third Proportional to 526,279.78 and 970,552.13

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Solution

The third proportional to 526,279.78 and 970,552.13 is: 1,789,868.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,279.78 : 970,552.13 = 970,552.13 : x
  2. Step 2: Convert to fraction form
    526,279.78/970,552.13 = 970,552.13/x
  3. Step 3: Cross multiply
    526,279.78x = 970,552.13 × 970,552.13
  4. Step 4: Simplify right side
    526,279.78x = 941,971,427,342.02
  5. Step 5: Solve for x
    x = 941,971,427,342.02/526,279.78
  6. Step 6: Final answer
    x = 1,789,868.17

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.