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Finding the Third Proportional to 228,532 and 484,712

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Solution

The third proportional to 228,532 and 484,712 is: 1,028,064.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,532 : 484,712 = 484,712 : x
  2. Step 2: Convert to fraction form
    228,532/484,712 = 484,712/x
  3. Step 3: Cross multiply
    228,532x = 484,712 × 484,712
  4. Step 4: Simplify right side
    228,532x = 234,945,722,944
  5. Step 5: Solve for x
    x = 234,945,722,944/228,532
  6. Step 6: Final answer
    x = 1,028,064.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.