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Finding the Third Proportional to 501.38 and 840.94

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Solution

The third proportional to 501.38 and 840.94 is: 1,410.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.38 : 840.94 = 840.94 : x
  2. Step 2: Convert to fraction form
    501.38/840.94 = 840.94/x
  3. Step 3: Cross multiply
    501.38x = 840.94 × 840.94
  4. Step 4: Simplify right side
    501.38x = 707,175.88
  5. Step 5: Solve for x
    x = 707,175.88/501.38
  6. Step 6: Final answer
    x = 1,410.47

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.