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Finding the Third Proportional to 223,978 and 487,316

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Solution

The third proportional to 223,978 and 487,316 is: 1,060,268.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,978 : 487,316 = 487,316 : x
  2. Step 2: Convert to fraction form
    223,978/487,316 = 487,316/x
  3. Step 3: Cross multiply
    223,978x = 487,316 × 487,316
  4. Step 4: Simplify right side
    223,978x = 237,476,883,856
  5. Step 5: Solve for x
    x = 237,476,883,856/223,978
  6. Step 6: Final answer
    x = 1,060,268.79

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