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Finding the Third Proportional to 349,175.25 and 557,892

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Solution

The third proportional to 349,175.25 and 557,892 is: 891,367.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,175.25 : 557,892 = 557,892 : x
  2. Step 2: Convert to fraction form
    349,175.25/557,892 = 557,892/x
  3. Step 3: Cross multiply
    349,175.25x = 557,892 × 557,892
  4. Step 4: Simplify right side
    349,175.25x = 311,243,483,664
  5. Step 5: Solve for x
    x = 311,243,483,664/349,175.25
  6. Step 6: Final answer
    x = 891,367.54

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.