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Finding the Third Proportional to 502,903.69 and 1,077,727.78

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Solution

The third proportional to 502,903.69 and 1,077,727.78 is: 2,309,581.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,903.69 : 1,077,727.78 = 1,077,727.78 : x
  2. Step 2: Convert to fraction form
    502,903.69/1,077,727.78 = 1,077,727.78/x
  3. Step 3: Cross multiply
    502,903.69x = 1,077,727.78 × 1,077,727.78
  4. Step 4: Simplify right side
    502,903.69x = 1,161,497,170,478.05
  5. Step 5: Solve for x
    x = 1,161,497,170,478.05/502,903.69
  6. Step 6: Final answer
    x = 2,309,581.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.