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Finding the Third Proportional to 234,020 and 486,032

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Solution

The third proportional to 234,020 and 486,032 is: 1,009,431.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,020 : 486,032 = 486,032 : x
  2. Step 2: Convert to fraction form
    234,020/486,032 = 486,032/x
  3. Step 3: Cross multiply
    234,020x = 486,032 × 486,032
  4. Step 4: Simplify right side
    234,020x = 236,227,105,024
  5. Step 5: Solve for x
    x = 236,227,105,024/234,020
  6. Step 6: Final answer
    x = 1,009,431.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.