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Finding the Third Proportional to 493.50 and 722.06

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Solution

The third proportional to 493.50 and 722.06 is: 1,056.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.50 : 722.06 = 722.06 : x
  2. Step 2: Convert to fraction form
    493.50/722.06 = 722.06/x
  3. Step 3: Cross multiply
    493.50x = 722.06 × 722.06
  4. Step 4: Simplify right side
    493.50x = 521,374.25
  5. Step 5: Solve for x
    x = 521,374.25/493.50
  6. Step 6: Final answer
    x = 1,056.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.