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Finding the Third Proportional to 274,485 and 587,022

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Solution

The third proportional to 274,485 and 587,022 is: 1,255,423.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,485 : 587,022 = 587,022 : x
  2. Step 2: Convert to fraction form
    274,485/587,022 = 587,022/x
  3. Step 3: Cross multiply
    274,485x = 587,022 × 587,022
  4. Step 4: Simplify right side
    274,485x = 344,594,828,484
  5. Step 5: Solve for x
    x = 344,594,828,484/274,485
  6. Step 6: Final answer
    x = 1,255,423.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.