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Finding the Third Proportional to 472.88 and 719.06

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Solution

The third proportional to 472.88 and 719.06 is: 1,093.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.88 : 719.06 = 719.06 : x
  2. Step 2: Convert to fraction form
    472.88/719.06 = 719.06/x
  3. Step 3: Cross multiply
    472.88x = 719.06 × 719.06
  4. Step 4: Simplify right side
    472.88x = 517,050.88
  5. Step 5: Solve for x
    x = 517,050.88/472.88
  6. Step 6: Final answer
    x = 1,093.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.