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Finding the Third Proportional to 224,470 and 498,765

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Solution

The third proportional to 224,470 and 498,765 is: 1,108,239.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,470 : 498,765 = 498,765 : x
  2. Step 2: Convert to fraction form
    224,470/498,765 = 498,765/x
  3. Step 3: Cross multiply
    224,470x = 498,765 × 498,765
  4. Step 4: Simplify right side
    224,470x = 248,766,525,225
  5. Step 5: Solve for x
    x = 248,766,525,225/224,470
  6. Step 6: Final answer
    x = 1,108,239.52

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.