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Finding the Third Proportional to 202,620 and 469,029

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Solution

The third proportional to 202,620 and 469,029 is: 1,085,718.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,620 : 469,029 = 469,029 : x
  2. Step 2: Convert to fraction form
    202,620/469,029 = 469,029/x
  3. Step 3: Cross multiply
    202,620x = 469,029 × 469,029
  4. Step 4: Simplify right side
    202,620x = 219,988,202,841
  5. Step 5: Solve for x
    x = 219,988,202,841/202,620
  6. Step 6: Final answer
    x = 1,085,718.11

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.