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Finding the Third Proportional to 598.31 and 924.09

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Solution

The third proportional to 598.31 and 924.09 is: 1,427.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.31 : 924.09 = 924.09 : x
  2. Step 2: Convert to fraction form
    598.31/924.09 = 924.09/x
  3. Step 3: Cross multiply
    598.31x = 924.09 × 924.09
  4. Step 4: Simplify right side
    598.31x = 853,949.26
  5. Step 5: Solve for x
    x = 853,949.26/598.31
  6. Step 6: Final answer
    x = 1,427.26

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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.