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Finding the Third Proportional to 270,140 and 587,848

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Solution

The third proportional to 270,140 and 587,848 is: 1,279,208.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,140 : 587,848 = 587,848 : x
  2. Step 2: Convert to fraction form
    270,140/587,848 = 587,848/x
  3. Step 3: Cross multiply
    270,140x = 587,848 × 587,848
  4. Step 4: Simplify right side
    270,140x = 345,565,271,104
  5. Step 5: Solve for x
    x = 345,565,271,104/270,140
  6. Step 6: Final answer
    x = 1,279,208.08

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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.