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Finding the Third Proportional to 213,669.50 and 467,029

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Solution

The third proportional to 213,669.50 and 467,029 is: 1,020,810.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,669.50 : 467,029 = 467,029 : x
  2. Step 2: Convert to fraction form
    213,669.50/467,029 = 467,029/x
  3. Step 3: Cross multiply
    213,669.50x = 467,029 × 467,029
  4. Step 4: Simplify right side
    213,669.50x = 218,116,086,841
  5. Step 5: Solve for x
    x = 218,116,086,841/213,669.50
  6. Step 6: Final answer
    x = 1,020,810.58

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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.