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Finding the Third Proportional to 224,403 and 483,798

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Solution

The third proportional to 224,403 and 483,798 is: 1,043,036.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,403 : 483,798 = 483,798 : x
  2. Step 2: Convert to fraction form
    224,403/483,798 = 483,798/x
  3. Step 3: Cross multiply
    224,403x = 483,798 × 483,798
  4. Step 4: Simplify right side
    224,403x = 234,060,504,804
  5. Step 5: Solve for x
    x = 234,060,504,804/224,403
  6. Step 6: Final answer
    x = 1,043,036.43

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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.