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Finding the Third Proportional to 361,799 and 531,858

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Solution

The third proportional to 361,799 and 531,858 is: 781,851.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,799 : 531,858 = 531,858 : x
  2. Step 2: Convert to fraction form
    361,799/531,858 = 531,858/x
  3. Step 3: Cross multiply
    361,799x = 531,858 × 531,858
  4. Step 4: Simplify right side
    361,799x = 282,872,932,164
  5. Step 5: Solve for x
    x = 282,872,932,164/361,799
  6. Step 6: Final answer
    x = 781,851.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.