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Finding the Third Proportional to 610 and 930.25

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Solution

The third proportional to 610 and 930.25 is: 1,418.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    610 : 930.25 = 930.25 : x
  2. Step 2: Convert to fraction form
    610/930.25 = 930.25/x
  3. Step 3: Cross multiply
    610x = 930.25 × 930.25
  4. Step 4: Simplify right side
    610x = 865,365.06
  5. Step 5: Solve for x
    x = 865,365.06/610
  6. Step 6: Final answer
    x = 1,418.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.