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Finding the Third Proportional to 224,409 and 483,810

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Solution

The third proportional to 224,409 and 483,810 is: 1,043,060.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,409 : 483,810 = 483,810 : x
  2. Step 2: Convert to fraction form
    224,409/483,810 = 483,810/x
  3. Step 3: Cross multiply
    224,409x = 483,810 × 483,810
  4. Step 4: Simplify right side
    224,409x = 234,072,116,100
  5. Step 5: Solve for x
    x = 234,072,116,100/224,409
  6. Step 6: Final answer
    x = 1,043,060.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.