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Finding the Third Proportional to 361,375 and 529,102

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Solution

The third proportional to 361,375 and 529,102 is: 774,677.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,375 : 529,102 = 529,102 : x
  2. Step 2: Convert to fraction form
    361,375/529,102 = 529,102/x
  3. Step 3: Cross multiply
    361,375x = 529,102 × 529,102
  4. Step 4: Simplify right side
    361,375x = 279,948,926,404
  5. Step 5: Solve for x
    x = 279,948,926,404/361,375
  6. Step 6: Final answer
    x = 774,677.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.