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Finding the Third Proportional to 216,993 and 476,020.50

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Solution

The third proportional to 216,993 and 476,020.50 is: 1,044,252.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,993 : 476,020.50 = 476,020.50 : x
  2. Step 2: Convert to fraction form
    216,993/476,020.50 = 476,020.50/x
  3. Step 3: Cross multiply
    216,993x = 476,020.50 × 476,020.50
  4. Step 4: Simplify right side
    216,993x = 226,595,516,420.25
  5. Step 5: Solve for x
    x = 226,595,516,420.25/216,993
  6. Step 6: Final answer
    x = 1,044,252.66

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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.