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Finding the Third Proportional to 361,926 and 532,365

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Solution

The third proportional to 361,926 and 532,365 is: 783,067.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,926 : 532,365 = 532,365 : x
  2. Step 2: Convert to fraction form
    361,926/532,365 = 532,365/x
  3. Step 3: Cross multiply
    361,926x = 532,365 × 532,365
  4. Step 4: Simplify right side
    361,926x = 283,412,493,225
  5. Step 5: Solve for x
    x = 283,412,493,225/361,926
  6. Step 6: Final answer
    x = 783,067.51

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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.