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Finding the Third Proportional to 999.33 and 1,567.55

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Solution

The third proportional to 999.33 and 1,567.55 is: 2,458.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.33 : 1,567.55 = 1,567.55 : x
  2. Step 2: Convert to fraction form
    999.33/1,567.55 = 1,567.55/x
  3. Step 3: Cross multiply
    999.33x = 1,567.55 × 1,567.55
  4. Step 4: Simplify right side
    999.33x = 2,457,203.21
  5. Step 5: Solve for x
    x = 2,457,203.21/999.33
  6. Step 6: Final answer
    x = 2,458.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.