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Finding the Third Proportional to 501.19 and 1,128.94

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Solution

The third proportional to 501.19 and 1,128.94 is: 2,542.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.19 : 1,128.94 = 1,128.94 : x
  2. Step 2: Convert to fraction form
    501.19/1,128.94 = 1,128.94/x
  3. Step 3: Cross multiply
    501.19x = 1,128.94 × 1,128.94
  4. Step 4: Simplify right side
    501.19x = 1,274,499.88
  5. Step 5: Solve for x
    x = 1,274,499.88/501.19
  6. Step 6: Final answer
    x = 2,542.96

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.