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Finding the Third Proportional to 361,234 and 562,535

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Solution

The third proportional to 361,234 and 562,535 is: 876,012.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,234 : 562,535 = 562,535 : x
  2. Step 2: Convert to fraction form
    361,234/562,535 = 562,535/x
  3. Step 3: Cross multiply
    361,234x = 562,535 × 562,535
  4. Step 4: Simplify right side
    361,234x = 316,445,626,225
  5. Step 5: Solve for x
    x = 316,445,626,225/361,234
  6. Step 6: Final answer
    x = 876,012.85

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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.