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Finding the Third Proportional to 610.31 and 920.91

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Solution

The third proportional to 610.31 and 920.91 is: 1,389.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.31 : 920.91 = 920.91 : x
  2. Step 2: Convert to fraction form
    610.31/920.91 = 920.91/x
  3. Step 3: Cross multiply
    610.31x = 920.91 × 920.91
  4. Step 4: Simplify right side
    610.31x = 848,068.32
  5. Step 5: Solve for x
    x = 848,068.32/610.31
  6. Step 6: Final answer
    x = 1,389.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.