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Finding the Third Proportional to 569.50 and 838.25

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Solution

The third proportional to 569.50 and 838.25 is: 1,233.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.50 : 838.25 = 838.25 : x
  2. Step 2: Convert to fraction form
    569.50/838.25 = 838.25/x
  3. Step 3: Cross multiply
    569.50x = 838.25 × 838.25
  4. Step 4: Simplify right side
    569.50x = 702,663.06
  5. Step 5: Solve for x
    x = 702,663.06/569.50
  6. Step 6: Final answer
    x = 1,233.82

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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.