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Finding the Third Proportional to 345,074 and 704,232

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Solution

The third proportional to 345,074 and 704,232 is: 1,437,206.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,074 : 704,232 = 704,232 : x
  2. Step 2: Convert to fraction form
    345,074/704,232 = 704,232/x
  3. Step 3: Cross multiply
    345,074x = 704,232 × 704,232
  4. Step 4: Simplify right side
    345,074x = 495,942,709,824
  5. Step 5: Solve for x
    x = 495,942,709,824/345,074
  6. Step 6: Final answer
    x = 1,437,206.83

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.