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Finding the Third Proportional to 293,022 and 601,578

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Solution

The third proportional to 293,022 and 601,578 is: 1,235,047.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,022 : 601,578 = 601,578 : x
  2. Step 2: Convert to fraction form
    293,022/601,578 = 601,578/x
  3. Step 3: Cross multiply
    293,022x = 601,578 × 601,578
  4. Step 4: Simplify right side
    293,022x = 361,896,090,084
  5. Step 5: Solve for x
    x = 361,896,090,084/293,022
  6. Step 6: Final answer
    x = 1,235,047.51

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.