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Finding the Third Proportional to 504.38 and 745.88

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Solution

The third proportional to 504.38 and 745.88 is: 1,103.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.38 : 745.88 = 745.88 : x
  2. Step 2: Convert to fraction form
    504.38/745.88 = 745.88/x
  3. Step 3: Cross multiply
    504.38x = 745.88 × 745.88
  4. Step 4: Simplify right side
    504.38x = 556,329.52
  5. Step 5: Solve for x
    x = 556,329.52/504.38
  6. Step 6: Final answer
    x = 1,103.01

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.