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Finding the Third Proportional to 298,412 and 424,884

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Solution

The third proportional to 298,412 and 424,884 is: 604,956.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,412 : 424,884 = 424,884 : x
  2. Step 2: Convert to fraction form
    298,412/424,884 = 424,884/x
  3. Step 3: Cross multiply
    298,412x = 424,884 × 424,884
  4. Step 4: Simplify right side
    298,412x = 180,526,413,456
  5. Step 5: Solve for x
    x = 180,526,413,456/298,412
  6. Step 6: Final answer
    x = 604,956.95

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.