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Finding the Third Proportional to 531.28 and 975.23

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Solution

The third proportional to 531.28 and 975.23 is: 1,790.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.28 : 975.23 = 975.23 : x
  2. Step 2: Convert to fraction form
    531.28/975.23 = 975.23/x
  3. Step 3: Cross multiply
    531.28x = 975.23 × 975.23
  4. Step 4: Simplify right side
    531.28x = 951,082.09
  5. Step 5: Solve for x
    x = 951,082.09/531.28
  6. Step 6: Final answer
    x = 1,790.17

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.