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Finding the Third Proportional to 345,074 and 704,233

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Solution

The third proportional to 345,074 and 704,233 is: 1,437,210.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,074 : 704,233 = 704,233 : x
  2. Step 2: Convert to fraction form
    345,074/704,233 = 704,233/x
  3. Step 3: Cross multiply
    345,074x = 704,233 × 704,233
  4. Step 4: Simplify right side
    345,074x = 495,944,118,289
  5. Step 5: Solve for x
    x = 495,944,118,289/345,074
  6. Step 6: Final answer
    x = 1,437,210.91

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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.