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Finding the Third Proportional to 584.63 and 1,567.50

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Solution

The third proportional to 584.63 and 1,567.50 is: 4,202.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.63 : 1,567.50 = 1,567.50 : x
  2. Step 2: Convert to fraction form
    584.63/1,567.50 = 1,567.50/x
  3. Step 3: Cross multiply
    584.63x = 1,567.50 × 1,567.50
  4. Step 4: Simplify right side
    584.63x = 2,457,056.25
  5. Step 5: Solve for x
    x = 2,457,056.25/584.63
  6. Step 6: Final answer
    x = 4,202.79

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Why These Related Problems?

These problems maintain the same ratio (2.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.