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Finding the Third Proportional to 277,214 and 583,405

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Solution

The third proportional to 277,214 and 583,405 is: 1,227,792.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,214 : 583,405 = 583,405 : x
  2. Step 2: Convert to fraction form
    277,214/583,405 = 583,405/x
  3. Step 3: Cross multiply
    277,214x = 583,405 × 583,405
  4. Step 4: Simplify right side
    277,214x = 340,361,394,025
  5. Step 5: Solve for x
    x = 340,361,394,025/277,214
  6. Step 6: Final answer
    x = 1,227,792.95

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.