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Finding the Third Proportional to 427.50 and 657.19

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Solution

The third proportional to 427.50 and 657.19 is: 1,010.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.50 : 657.19 = 657.19 : x
  2. Step 2: Convert to fraction form
    427.50/657.19 = 657.19/x
  3. Step 3: Cross multiply
    427.50x = 657.19 × 657.19
  4. Step 4: Simplify right side
    427.50x = 431,895.41
  5. Step 5: Solve for x
    x = 431,895.41/427.50
  6. Step 6: Final answer
    x = 1,010.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.