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Finding the Third Proportional to 252,269 and 374,806

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Solution

The third proportional to 252,269 and 374,806 is: 556,864.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,269 : 374,806 = 374,806 : x
  2. Step 2: Convert to fraction form
    252,269/374,806 = 374,806/x
  3. Step 3: Cross multiply
    252,269x = 374,806 × 374,806
  4. Step 4: Simplify right side
    252,269x = 140,479,537,636
  5. Step 5: Solve for x
    x = 140,479,537,636/252,269
  6. Step 6: Final answer
    x = 556,864.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.