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Finding the Third Proportional to 185,566 and 413,630

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Solution

The third proportional to 185,566 and 413,630 is: 921,988.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,566 : 413,630 = 413,630 : x
  2. Step 2: Convert to fraction form
    185,566/413,630 = 413,630/x
  3. Step 3: Cross multiply
    185,566x = 413,630 × 413,630
  4. Step 4: Simplify right side
    185,566x = 171,089,776,900
  5. Step 5: Solve for x
    x = 171,089,776,900/185,566
  6. Step 6: Final answer
    x = 921,988.82

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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.