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Finding the Third Proportional to 278,049 and 607,066

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Solution

The third proportional to 278,049 and 607,066 is: 1,325,410.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,049 : 607,066 = 607,066 : x
  2. Step 2: Convert to fraction form
    278,049/607,066 = 607,066/x
  3. Step 3: Cross multiply
    278,049x = 607,066 × 607,066
  4. Step 4: Simplify right side
    278,049x = 368,529,128,356
  5. Step 5: Solve for x
    x = 368,529,128,356/278,049
  6. Step 6: Final answer
    x = 1,325,410.73

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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.