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Finding the Third Proportional to 375,462 and 777,540

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Solution

The third proportional to 375,462 and 777,540 is: 1,610,198.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,462 : 777,540 = 777,540 : x
  2. Step 2: Convert to fraction form
    375,462/777,540 = 777,540/x
  3. Step 3: Cross multiply
    375,462x = 777,540 × 777,540
  4. Step 4: Simplify right side
    375,462x = 604,568,451,600
  5. Step 5: Solve for x
    x = 604,568,451,600/375,462
  6. Step 6: Final answer
    x = 1,610,198.77

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.