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Finding the Third Proportional to 685.75 and 1,010.63

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Solution

The third proportional to 685.75 and 1,010.63 is: 1,489.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.75 : 1,010.63 = 1,010.63 : x
  2. Step 2: Convert to fraction form
    685.75/1,010.63 = 1,010.63/x
  3. Step 3: Cross multiply
    685.75x = 1,010.63 × 1,010.63
  4. Step 4: Simplify right side
    685.75x = 1,021,362.89
  5. Step 5: Solve for x
    x = 1,021,362.89/685.75
  6. Step 6: Final answer
    x = 1,489.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.