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Finding the Third Proportional to 597.23 and 1,248.47

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Solution

The third proportional to 597.23 and 1,248.47 is: 2,609.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.23 : 1,248.47 = 1,248.47 : x
  2. Step 2: Convert to fraction form
    597.23/1,248.47 = 1,248.47/x
  3. Step 3: Cross multiply
    597.23x = 1,248.47 × 1,248.47
  4. Step 4: Simplify right side
    597.23x = 1,558,674.22
  5. Step 5: Solve for x
    x = 1,558,674.22/597.23
  6. Step 6: Final answer
    x = 2,609.82

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.