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Finding the Third Proportional to 527,808 and 796,224

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Solution

The third proportional to 527,808 and 796,224 is: 1,201,142.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,808 : 796,224 = 796,224 : x
  2. Step 2: Convert to fraction form
    527,808/796,224 = 796,224/x
  3. Step 3: Cross multiply
    527,808x = 796,224 × 796,224
  4. Step 4: Simplify right side
    527,808x = 633,972,658,176
  5. Step 5: Solve for x
    x = 633,972,658,176/527,808
  6. Step 6: Final answer
    x = 1,201,142.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.