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Finding the Third Proportional to 226,541 and 487,796.50

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Solution

The third proportional to 226,541 and 487,796.50 is: 1,050,341.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,541 : 487,796.50 = 487,796.50 : x
  2. Step 2: Convert to fraction form
    226,541/487,796.50 = 487,796.50/x
  3. Step 3: Cross multiply
    226,541x = 487,796.50 × 487,796.50
  4. Step 4: Simplify right side
    226,541x = 237,945,425,412.25
  5. Step 5: Solve for x
    x = 237,945,425,412.25/226,541
  6. Step 6: Final answer
    x = 1,050,341.55

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.