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Finding the Third Proportional to 219,746.25 and 479,763

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Solution

The third proportional to 219,746.25 and 479,763 is: 1,047,446.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,746.25 : 479,763 = 479,763 : x
  2. Step 2: Convert to fraction form
    219,746.25/479,763 = 479,763/x
  3. Step 3: Cross multiply
    219,746.25x = 479,763 × 479,763
  4. Step 4: Simplify right side
    219,746.25x = 230,172,536,169
  5. Step 5: Solve for x
    x = 230,172,536,169/219,746.25
  6. Step 6: Final answer
    x = 1,047,446.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.