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Finding the Third Proportional to 216,982.13 and 475,996.50

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Solution

The third proportional to 216,982.13 and 475,996.50 is: 1,044,199.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,982.13 : 475,996.50 = 475,996.50 : x
  2. Step 2: Convert to fraction form
    216,982.13/475,996.50 = 475,996.50/x
  3. Step 3: Cross multiply
    216,982.13x = 475,996.50 × 475,996.50
  4. Step 4: Simplify right side
    216,982.13x = 226,572,668,012.25
  5. Step 5: Solve for x
    x = 226,572,668,012.25/216,982.13
  6. Step 6: Final answer
    x = 1,044,199.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.