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Finding the Third Proportional to 219,256 and 473,486

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Solution

The third proportional to 219,256 and 473,486 is: 1,022,498.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,256 : 473,486 = 473,486 : x
  2. Step 2: Convert to fraction form
    219,256/473,486 = 473,486/x
  3. Step 3: Cross multiply
    219,256x = 473,486 × 473,486
  4. Step 4: Simplify right side
    219,256x = 224,188,992,196
  5. Step 5: Solve for x
    x = 224,188,992,196/219,256
  6. Step 6: Final answer
    x = 1,022,498.78

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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.