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Finding the Third Proportional to 360,966 and 529,137

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Solution

The third proportional to 360,966 and 529,137 is: 775,657.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,966 : 529,137 = 529,137 : x
  2. Step 2: Convert to fraction form
    360,966/529,137 = 529,137/x
  3. Step 3: Cross multiply
    360,966x = 529,137 × 529,137
  4. Step 4: Simplify right side
    360,966x = 279,985,964,769
  5. Step 5: Solve for x
    x = 279,985,964,769/360,966
  6. Step 6: Final answer
    x = 775,657.44

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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.