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Finding the Third Proportional to 225,061 and 488,763

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Solution

The third proportional to 225,061 and 488,763 is: 1,061,442.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,061 : 488,763 = 488,763 : x
  2. Step 2: Convert to fraction form
    225,061/488,763 = 488,763/x
  3. Step 3: Cross multiply
    225,061x = 488,763 × 488,763
  4. Step 4: Simplify right side
    225,061x = 238,889,270,169
  5. Step 5: Solve for x
    x = 238,889,270,169/225,061
  6. Step 6: Final answer
    x = 1,061,442.32

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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.