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Finding the Third Proportional to 385.13 and 592.69

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Solution

The third proportional to 385.13 and 592.69 is: 912.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.13 : 592.69 = 592.69 : x
  2. Step 2: Convert to fraction form
    385.13/592.69 = 592.69/x
  3. Step 3: Cross multiply
    385.13x = 592.69 × 592.69
  4. Step 4: Simplify right side
    385.13x = 351,278.47
  5. Step 5: Solve for x
    x = 351,278.47/385.13
  6. Step 6: Final answer
    x = 912.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.