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Finding the Third Proportional to 331,712 and 499,233

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Solution

The third proportional to 331,712 and 499,233 is: 751,355.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,712 : 499,233 = 499,233 : x
  2. Step 2: Convert to fraction form
    331,712/499,233 = 499,233/x
  3. Step 3: Cross multiply
    331,712x = 499,233 × 499,233
  4. Step 4: Simplify right side
    331,712x = 249,233,588,289
  5. Step 5: Solve for x
    x = 249,233,588,289/331,712
  6. Step 6: Final answer
    x = 751,355.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.