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Finding the Third Proportional to 224,732 and 486,887

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Solution

The third proportional to 224,732 and 486,887 is: 1,054,851.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,732 : 486,887 = 486,887 : x
  2. Step 2: Convert to fraction form
    224,732/486,887 = 486,887/x
  3. Step 3: Cross multiply
    224,732x = 486,887 × 486,887
  4. Step 4: Simplify right side
    224,732x = 237,058,950,769
  5. Step 5: Solve for x
    x = 237,058,950,769/224,732
  6. Step 6: Final answer
    x = 1,054,851.78

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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.