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Finding the Third Proportional to 417,168 and 917,256

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Solution

The third proportional to 417,168 and 917,256 is: 2,016,833.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,168 : 917,256 = 917,256 : x
  2. Step 2: Convert to fraction form
    417,168/917,256 = 917,256/x
  3. Step 3: Cross multiply
    417,168x = 917,256 × 917,256
  4. Step 4: Simplify right side
    417,168x = 841,358,569,536
  5. Step 5: Solve for x
    x = 841,358,569,536/417,168
  6. Step 6: Final answer
    x = 2,016,833.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.