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Finding the Third Proportional to 438,966 and 596,214

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Solution

The third proportional to 438,966 and 596,214 is: 809,791.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,966 : 596,214 = 596,214 : x
  2. Step 2: Convert to fraction form
    438,966/596,214 = 596,214/x
  3. Step 3: Cross multiply
    438,966x = 596,214 × 596,214
  4. Step 4: Simplify right side
    438,966x = 355,471,133,796
  5. Step 5: Solve for x
    x = 355,471,133,796/438,966
  6. Step 6: Final answer
    x = 809,791.95

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.