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Finding the Third Proportional to 274,933.13 and 588,308.06

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Solution

The third proportional to 274,933.13 and 588,308.06 is: 1,258,874.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,933.13 : 588,308.06 = 588,308.06 : x
  2. Step 2: Convert to fraction form
    274,933.13/588,308.06 = 588,308.06/x
  3. Step 3: Cross multiply
    274,933.13x = 588,308.06 × 588,308.06
  4. Step 4: Simplify right side
    274,933.13x = 346,106,376,402.50
  5. Step 5: Solve for x
    x = 346,106,376,402.50/274,933.13
  6. Step 6: Final answer
    x = 1,258,874.78

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.