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Finding the Third Proportional to 234,966 and 352,522

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Solution

The third proportional to 234,966 and 352,522 is: 528,892.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,966 : 352,522 = 352,522 : x
  2. Step 2: Convert to fraction form
    234,966/352,522 = 352,522/x
  3. Step 3: Cross multiply
    234,966x = 352,522 × 352,522
  4. Step 4: Simplify right side
    234,966x = 124,271,760,484
  5. Step 5: Solve for x
    x = 124,271,760,484/234,966
  6. Step 6: Final answer
    x = 528,892.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.