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Finding the Third Proportional to 202,629 and 469,089

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Solution

The third proportional to 202,629 and 469,089 is: 1,085,947.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,629 : 469,089 = 469,089 : x
  2. Step 2: Convert to fraction form
    202,629/469,089 = 469,089/x
  3. Step 3: Cross multiply
    202,629x = 469,089 × 469,089
  4. Step 4: Simplify right side
    202,629x = 220,044,489,921
  5. Step 5: Solve for x
    x = 220,044,489,921/202,629
  6. Step 6: Final answer
    x = 1,085,947.67

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.