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Finding the Third Proportional to 360,563 and 522,241

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Solution

The third proportional to 360,563 and 522,241 is: 756,416.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,563 : 522,241 = 522,241 : x
  2. Step 2: Convert to fraction form
    360,563/522,241 = 522,241/x
  3. Step 3: Cross multiply
    360,563x = 522,241 × 522,241
  4. Step 4: Simplify right side
    360,563x = 272,735,662,081
  5. Step 5: Solve for x
    x = 272,735,662,081/360,563
  6. Step 6: Final answer
    x = 756,416.11

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.