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Finding the Third Proportional to 361,233 and 562,530

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Solution

The third proportional to 361,233 and 562,530 is: 875,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,233 : 562,530 = 562,530 : x
  2. Step 2: Convert to fraction form
    361,233/562,530 = 562,530/x
  3. Step 3: Cross multiply
    361,233x = 562,530 × 562,530
  4. Step 4: Simplify right side
    361,233x = 316,440,000,900
  5. Step 5: Solve for x
    x = 316,440,000,900/361,233
  6. Step 6: Final answer
    x = 875,999.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.