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Finding the Third Proportional to 584.81 and 925.13

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Solution

The third proportional to 584.81 and 925.13 is: 1,463.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.81 : 925.13 = 925.13 : x
  2. Step 2: Convert to fraction form
    584.81/925.13 = 925.13/x
  3. Step 3: Cross multiply
    584.81x = 925.13 × 925.13
  4. Step 4: Simplify right side
    584.81x = 855,856.27
  5. Step 5: Solve for x
    x = 855,856.27/584.81
  6. Step 6: Final answer
    x = 1,463.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.