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Finding the Third Proportional to 296,856 and 608,256

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Solution

The third proportional to 296,856 and 608,256 is: 1,246,312.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,856 : 608,256 = 608,256 : x
  2. Step 2: Convert to fraction form
    296,856/608,256 = 608,256/x
  3. Step 3: Cross multiply
    296,856x = 608,256 × 608,256
  4. Step 4: Simplify right side
    296,856x = 369,975,361,536
  5. Step 5: Solve for x
    x = 369,975,361,536/296,856
  6. Step 6: Final answer
    x = 1,246,312.56

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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.