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Finding the Third Proportional to 293,890 and 413,862

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Solution

The third proportional to 293,890 and 413,862 is: 582,809.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,890 : 413,862 = 413,862 : x
  2. Step 2: Convert to fraction form
    293,890/413,862 = 413,862/x
  3. Step 3: Cross multiply
    293,890x = 413,862 × 413,862
  4. Step 4: Simplify right side
    293,890x = 171,281,755,044
  5. Step 5: Solve for x
    x = 171,281,755,044/293,890
  6. Step 6: Final answer
    x = 582,809.06

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.