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Finding the Third Proportional to 584.81 and 929.91

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Solution

The third proportional to 584.81 and 929.91 is: 1,478.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.81 : 929.91 = 929.91 : x
  2. Step 2: Convert to fraction form
    584.81/929.91 = 929.91/x
  3. Step 3: Cross multiply
    584.81x = 929.91 × 929.91
  4. Step 4: Simplify right side
    584.81x = 864,725.63
  5. Step 5: Solve for x
    x = 864,725.63/584.81
  6. Step 6: Final answer
    x = 1,478.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.