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Finding the Third Proportional to 378,497.25 and 562,279.50

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Solution

The third proportional to 378,497.25 and 562,279.50 is: 835,298.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,497.25 : 562,279.50 = 562,279.50 : x
  2. Step 2: Convert to fraction form
    378,497.25/562,279.50 = 562,279.50/x
  3. Step 3: Cross multiply
    378,497.25x = 562,279.50 × 562,279.50
  4. Step 4: Simplify right side
    378,497.25x = 316,158,236,120.25
  5. Step 5: Solve for x
    x = 316,158,236,120.25/378,497.25
  6. Step 6: Final answer
    x = 835,298.63

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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.