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Finding the Third Proportional to 592.88 and 930.09

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Solution

The third proportional to 592.88 and 930.09 is: 1,459.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.88 : 930.09 = 930.09 : x
  2. Step 2: Convert to fraction form
    592.88/930.09 = 930.09/x
  3. Step 3: Cross multiply
    592.88x = 930.09 × 930.09
  4. Step 4: Simplify right side
    592.88x = 865,074.38
  5. Step 5: Solve for x
    x = 865,074.38/592.88
  6. Step 6: Final answer
    x = 1,459.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.