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Finding the Third Proportional to 367,256 and 778,612

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Solution

The third proportional to 367,256 and 778,612 is: 1,650,719.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,256 : 778,612 = 778,612 : x
  2. Step 2: Convert to fraction form
    367,256/778,612 = 778,612/x
  3. Step 3: Cross multiply
    367,256x = 778,612 × 778,612
  4. Step 4: Simplify right side
    367,256x = 606,236,646,544
  5. Step 5: Solve for x
    x = 606,236,646,544/367,256
  6. Step 6: Final answer
    x = 1,650,719.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.