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Finding the Third Proportional to 296,800 and 608,184

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Solution

The third proportional to 296,800 and 608,184 is: 1,246,252.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,800 : 608,184 = 608,184 : x
  2. Step 2: Convert to fraction form
    296,800/608,184 = 608,184/x
  3. Step 3: Cross multiply
    296,800x = 608,184 × 608,184
  4. Step 4: Simplify right side
    296,800x = 369,887,777,856
  5. Step 5: Solve for x
    x = 369,887,777,856/296,800
  6. Step 6: Final answer
    x = 1,246,252.62

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.