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Finding the Third Proportional to 592.87 and 916.04

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Solution

The third proportional to 592.87 and 916.04 is: 1,415.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.87 : 916.04 = 916.04 : x
  2. Step 2: Convert to fraction form
    592.87/916.04 = 916.04/x
  3. Step 3: Cross multiply
    592.87x = 916.04 × 916.04
  4. Step 4: Simplify right side
    592.87x = 839,121.30
  5. Step 5: Solve for x
    x = 839,121.30/592.87
  6. Step 6: Final answer
    x = 1,415.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.