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Finding the Third Proportional to 228,904.31 and 497,214.56

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Solution

The third proportional to 228,904.31 and 497,214.56 is: 1,080,024.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,904.31 : 497,214.56 = 497,214.56 : x
  2. Step 2: Convert to fraction form
    228,904.31/497,214.56 = 497,214.56/x
  3. Step 3: Cross multiply
    228,904.31x = 497,214.56 × 497,214.56
  4. Step 4: Simplify right side
    228,904.31x = 247,222,321,162.07
  5. Step 5: Solve for x
    x = 247,222,321,162.07/228,904.31
  6. Step 6: Final answer
    x = 1,080,024.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.