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Finding the Third Proportional to 219,242.25 and 473,456.25

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Solution

The third proportional to 219,242.25 and 473,456.25 is: 1,022,434.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,242.25 : 473,456.25 = 473,456.25 : x
  2. Step 2: Convert to fraction form
    219,242.25/473,456.25 = 473,456.25/x
  3. Step 3: Cross multiply
    219,242.25x = 473,456.25 × 473,456.25
  4. Step 4: Simplify right side
    219,242.25x = 224,160,820,664.06
  5. Step 5: Solve for x
    x = 224,160,820,664.06/219,242.25
  6. Step 6: Final answer
    x = 1,022,434.41

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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.