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Finding the Third Proportional to 205,028 and 440,712

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Solution

The third proportional to 205,028 and 440,712 is: 947,319.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,028 : 440,712 = 440,712 : x
  2. Step 2: Convert to fraction form
    205,028/440,712 = 440,712/x
  3. Step 3: Cross multiply
    205,028x = 440,712 × 440,712
  4. Step 4: Simplify right side
    205,028x = 194,227,066,944
  5. Step 5: Solve for x
    x = 194,227,066,944/205,028
  6. Step 6: Final answer
    x = 947,319.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.