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Finding the Third Proportional to 500,959.69 and 976,837.22

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Solution

The third proportional to 500,959.69 and 976,837.22 is: 1,904,765.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,959.69 : 976,837.22 = 976,837.22 : x
  2. Step 2: Convert to fraction form
    500,959.69/976,837.22 = 976,837.22/x
  3. Step 3: Cross multiply
    500,959.69x = 976,837.22 × 976,837.22
  4. Step 4: Simplify right side
    500,959.69x = 954,210,951,935.24
  5. Step 5: Solve for x
    x = 954,210,951,935.24/500,959.69
  6. Step 6: Final answer
    x = 1,904,765.94

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.