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Finding the Third Proportional to 304,175.25 and 704,145.66

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Solution

The third proportional to 304,175.25 and 704,145.66 is: 1,630,050.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,175.25 : 704,145.66 = 704,145.66 : x
  2. Step 2: Convert to fraction form
    304,175.25/704,145.66 = 704,145.66/x
  3. Step 3: Cross multiply
    304,175.25x = 704,145.66 × 704,145.66
  4. Step 4: Simplify right side
    304,175.25x = 495,821,105,215.74
  5. Step 5: Solve for x
    x = 495,821,105,215.74/304,175.25
  6. Step 6: Final answer
    x = 1,630,050.79

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.