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Finding the Third Proportional to 572.38 and 1,354.06

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Solution

The third proportional to 572.38 and 1,354.06 is: 3,203.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.38 : 1,354.06 = 1,354.06 : x
  2. Step 2: Convert to fraction form
    572.38/1,354.06 = 1,354.06/x
  3. Step 3: Cross multiply
    572.38x = 1,354.06 × 1,354.06
  4. Step 4: Simplify right side
    572.38x = 1,833,479.96
  5. Step 5: Solve for x
    x = 1,833,479.96/572.38
  6. Step 6: Final answer
    x = 3,203.26

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.