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Finding the Third Proportional to 275,351 and 583,736

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Solution

The third proportional to 275,351 and 583,736 is: 1,237,503.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,351 : 583,736 = 583,736 : x
  2. Step 2: Convert to fraction form
    275,351/583,736 = 583,736/x
  3. Step 3: Cross multiply
    275,351x = 583,736 × 583,736
  4. Step 4: Simplify right side
    275,351x = 340,747,717,696
  5. Step 5: Solve for x
    x = 340,747,717,696/275,351
  6. Step 6: Final answer
    x = 1,237,503.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.