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Finding the Third Proportional to 315,912 and 654,180

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Solution

The third proportional to 315,912 and 654,180 is: 1,354,654.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,912 : 654,180 = 654,180 : x
  2. Step 2: Convert to fraction form
    315,912/654,180 = 654,180/x
  3. Step 3: Cross multiply
    315,912x = 654,180 × 654,180
  4. Step 4: Simplify right side
    315,912x = 427,951,472,400
  5. Step 5: Solve for x
    x = 427,951,472,400/315,912
  6. Step 6: Final answer
    x = 1,354,654.06

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.