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Finding the Third Proportional to 204,620 and 315,678

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Solution

The third proportional to 204,620 and 315,678 is: 487,013.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,620 : 315,678 = 315,678 : x
  2. Step 2: Convert to fraction form
    204,620/315,678 = 315,678/x
  3. Step 3: Cross multiply
    204,620x = 315,678 × 315,678
  4. Step 4: Simplify right side
    204,620x = 99,652,599,684
  5. Step 5: Solve for x
    x = 99,652,599,684/204,620
  6. Step 6: Final answer
    x = 487,013.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.