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Finding the Third Proportional to 592.63 and 920.13

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Solution

The third proportional to 592.63 and 920.13 is: 1,428.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.63 : 920.13 = 920.13 : x
  2. Step 2: Convert to fraction form
    592.63/920.13 = 920.13/x
  3. Step 3: Cross multiply
    592.63x = 920.13 × 920.13
  4. Step 4: Simplify right side
    592.63x = 846,630.02
  5. Step 5: Solve for x
    x = 846,630.02/592.63
  6. Step 6: Final answer
    x = 1,428.61

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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.