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Finding the Third Proportional to 220,360 and 475,712

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Solution

The third proportional to 220,360 and 475,712 is: 1,026,964.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,360 : 475,712 = 475,712 : x
  2. Step 2: Convert to fraction form
    220,360/475,712 = 475,712/x
  3. Step 3: Cross multiply
    220,360x = 475,712 × 475,712
  4. Step 4: Simplify right side
    220,360x = 226,301,906,944
  5. Step 5: Solve for x
    x = 226,301,906,944/220,360
  6. Step 6: Final answer
    x = 1,026,964.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.