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Finding the Third Proportional to 584.30 and 924.96

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Solution

The third proportional to 584.30 and 924.96 is: 1,464.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.30 : 924.96 = 924.96 : x
  2. Step 2: Convert to fraction form
    584.30/924.96 = 924.96/x
  3. Step 3: Cross multiply
    584.30x = 924.96 × 924.96
  4. Step 4: Simplify right side
    584.30x = 855,552.74
  5. Step 5: Solve for x
    x = 855,552.74/584.30
  6. Step 6: Final answer
    x = 1,464.24

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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.