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Finding the Third Proportional to 202,092 and 424,488

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Solution

The third proportional to 202,092 and 424,488 is: 891,623.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,092 : 424,488 = 424,488 : x
  2. Step 2: Convert to fraction form
    202,092/424,488 = 424,488/x
  3. Step 3: Cross multiply
    202,092x = 424,488 × 424,488
  4. Step 4: Simplify right side
    202,092x = 180,190,062,144
  5. Step 5: Solve for x
    x = 180,190,062,144/202,092
  6. Step 6: Final answer
    x = 891,623.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.