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Finding the Third Proportional to 597.88 and 934.38

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Solution

The third proportional to 597.88 and 934.38 is: 1,460.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.88 : 934.38 = 934.38 : x
  2. Step 2: Convert to fraction form
    597.88/934.38 = 934.38/x
  3. Step 3: Cross multiply
    597.88x = 934.38 × 934.38
  4. Step 4: Simplify right side
    597.88x = 873,056.64
  5. Step 5: Solve for x
    x = 873,056.64/597.88
  6. Step 6: Final answer
    x = 1,460.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.