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Finding the Third Proportional to 244,612 and 374,213

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Solution

The third proportional to 244,612 and 374,213 is: 572,479.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,612 : 374,213 = 374,213 : x
  2. Step 2: Convert to fraction form
    244,612/374,213 = 374,213/x
  3. Step 3: Cross multiply
    244,612x = 374,213 × 374,213
  4. Step 4: Simplify right side
    244,612x = 140,035,369,369
  5. Step 5: Solve for x
    x = 140,035,369,369/244,612
  6. Step 6: Final answer
    x = 572,479.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.