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Finding the Third Proportional to 304,230.94 and 704,269.69

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Solution

The third proportional to 304,230.94 and 704,269.69 is: 1,630,326.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,230.94 : 704,269.69 = 704,269.69 : x
  2. Step 2: Convert to fraction form
    304,230.94/704,269.69 = 704,269.69/x
  3. Step 3: Cross multiply
    304,230.94x = 704,269.69 × 704,269.69
  4. Step 4: Simplify right side
    304,230.94x = 495,995,792,731.35
  5. Step 5: Solve for x
    x = 495,995,792,731.35/304,230.94
  6. Step 6: Final answer
    x = 1,630,326.61

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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.