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Finding the Third Proportional to 580,966 and 792,034

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Solution

The third proportional to 580,966 and 792,034 is: 1,079,784.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,966 : 792,034 = 792,034 : x
  2. Step 2: Convert to fraction form
    580,966/792,034 = 792,034/x
  3. Step 3: Cross multiply
    580,966x = 792,034 × 792,034
  4. Step 4: Simplify right side
    580,966x = 627,317,857,156
  5. Step 5: Solve for x
    x = 627,317,857,156/580,966
  6. Step 6: Final answer
    x = 1,079,784.11

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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.