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Finding the Third Proportional to 252,340 and 374,865

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Solution

The third proportional to 252,340 and 374,865 is: 556,882.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,340 : 374,865 = 374,865 : x
  2. Step 2: Convert to fraction form
    252,340/374,865 = 374,865/x
  3. Step 3: Cross multiply
    252,340x = 374,865 × 374,865
  4. Step 4: Simplify right side
    252,340x = 140,523,768,225
  5. Step 5: Solve for x
    x = 140,523,768,225/252,340
  6. Step 6: Final answer
    x = 556,882.65

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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.