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Finding the Third Proportional to 361,278 and 562,596.75

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Solution

The third proportional to 361,278 and 562,596.75 is: 876,098.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,278 : 562,596.75 = 562,596.75 : x
  2. Step 2: Convert to fraction form
    361,278/562,596.75 = 562,596.75/x
  3. Step 3: Cross multiply
    361,278x = 562,596.75 × 562,596.75
  4. Step 4: Simplify right side
    361,278x = 316,515,103,110.56
  5. Step 5: Solve for x
    x = 316,515,103,110.56/361,278
  6. Step 6: Final answer
    x = 876,098.47

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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.