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Finding the Third Proportional to 278,001.84 and 606,980.11

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Solution

The third proportional to 278,001.84 and 606,980.11 is: 1,325,260.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,001.84 : 606,980.11 = 606,980.11 : x
  2. Step 2: Convert to fraction form
    278,001.84/606,980.11 = 606,980.11/x
  3. Step 3: Cross multiply
    278,001.84x = 606,980.11 × 606,980.11
  4. Step 4: Simplify right side
    278,001.84x = 368,424,848,434.86
  5. Step 5: Solve for x
    x = 368,424,848,434.86/278,001.84
  6. Step 6: Final answer
    x = 1,325,260.45

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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.