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Finding the Third Proportional to 325,996.31 and 498,678.19

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Solution

The third proportional to 325,996.31 and 498,678.19 is: 762,830.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,996.31 : 498,678.19 = 498,678.19 : x
  2. Step 2: Convert to fraction form
    325,996.31/498,678.19 = 498,678.19/x
  3. Step 3: Cross multiply
    325,996.31x = 498,678.19 × 498,678.19
  4. Step 4: Simplify right side
    325,996.31x = 248,679,934,688.29
  5. Step 5: Solve for x
    x = 248,679,934,688.29/325,996.31
  6. Step 6: Final answer
    x = 762,830.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.