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Finding the Third Proportional to 514,206 and 790,863

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Solution

The third proportional to 514,206 and 790,863 is: 1,216,369.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,206 : 790,863 = 790,863 : x
  2. Step 2: Convert to fraction form
    514,206/790,863 = 790,863/x
  3. Step 3: Cross multiply
    514,206x = 790,863 × 790,863
  4. Step 4: Simplify right side
    514,206x = 625,464,284,769
  5. Step 5: Solve for x
    x = 625,464,284,769/514,206
  6. Step 6: Final answer
    x = 1,216,369.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.