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Finding the Third Proportional to 185,565 and 413,628

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Solution

The third proportional to 185,565 and 413,628 is: 921,984.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,565 : 413,628 = 413,628 : x
  2. Step 2: Convert to fraction form
    185,565/413,628 = 413,628/x
  3. Step 3: Cross multiply
    185,565x = 413,628 × 413,628
  4. Step 4: Simplify right side
    185,565x = 171,088,122,384
  5. Step 5: Solve for x
    x = 171,088,122,384/185,565
  6. Step 6: Final answer
    x = 921,984.87

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.