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Finding the Third Proportional to 224,608 and 486,563

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Solution

The third proportional to 224,608 and 486,563 is: 1,054,029.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,608 : 486,563 = 486,563 : x
  2. Step 2: Convert to fraction form
    224,608/486,563 = 486,563/x
  3. Step 3: Cross multiply
    224,608x = 486,563 × 486,563
  4. Step 4: Simplify right side
    224,608x = 236,743,552,969
  5. Step 5: Solve for x
    x = 236,743,552,969/224,608
  6. Step 6: Final answer
    x = 1,054,029.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.