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Finding the Third Proportional to 583,150 and 952,233

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Solution

The third proportional to 583,150 and 952,233 is: 1,554,913.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,150 : 952,233 = 952,233 : x
  2. Step 2: Convert to fraction form
    583,150/952,233 = 952,233/x
  3. Step 3: Cross multiply
    583,150x = 952,233 × 952,233
  4. Step 4: Simplify right side
    583,150x = 906,747,686,289
  5. Step 5: Solve for x
    x = 906,747,686,289/583,150
  6. Step 6: Final answer
    x = 1,554,913.29

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.