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Finding the Third Proportional to 278,006 and 606,988

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Solution

The third proportional to 278,006 and 606,988 is: 1,325,275.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,006 : 606,988 = 606,988 : x
  2. Step 2: Convert to fraction form
    278,006/606,988 = 606,988/x
  3. Step 3: Cross multiply
    278,006x = 606,988 × 606,988
  4. Step 4: Simplify right side
    278,006x = 368,434,432,144
  5. Step 5: Solve for x
    x = 368,434,432,144/278,006
  6. Step 6: Final answer
    x = 1,325,275.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.