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Finding the Third Proportional to 225,057 and 488,754

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Solution

The third proportional to 225,057 and 488,754 is: 1,061,422.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,057 : 488,754 = 488,754 : x
  2. Step 2: Convert to fraction form
    225,057/488,754 = 488,754/x
  3. Step 3: Cross multiply
    225,057x = 488,754 × 488,754
  4. Step 4: Simplify right side
    225,057x = 238,880,472,516
  5. Step 5: Solve for x
    x = 238,880,472,516/225,057
  6. Step 6: Final answer
    x = 1,061,422.10

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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.