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Finding the Third Proportional to 514,164 and 790,794

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Solution

The third proportional to 514,164 and 790,794 is: 1,216,256.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,164 : 790,794 = 790,794 : x
  2. Step 2: Convert to fraction form
    514,164/790,794 = 790,794/x
  3. Step 3: Cross multiply
    514,164x = 790,794 × 790,794
  4. Step 4: Simplify right side
    514,164x = 625,355,150,436
  5. Step 5: Solve for x
    x = 625,355,150,436/514,164
  6. Step 6: Final answer
    x = 1,216,256.20

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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.