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Finding the Third Proportional to 247,066 and 538,740

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Solution

The third proportional to 247,066 and 538,740 is: 1,174,750.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,066 : 538,740 = 538,740 : x
  2. Step 2: Convert to fraction form
    247,066/538,740 = 538,740/x
  3. Step 3: Cross multiply
    247,066x = 538,740 × 538,740
  4. Step 4: Simplify right side
    247,066x = 290,240,787,600
  5. Step 5: Solve for x
    x = 290,240,787,600/247,066
  6. Step 6: Final answer
    x = 1,174,750.02

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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.