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Finding the Third Proportional to 573.19 and 722.81

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Solution

The third proportional to 573.19 and 722.81 is: 911.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.19 : 722.81 = 722.81 : x
  2. Step 2: Convert to fraction form
    573.19/722.81 = 722.81/x
  3. Step 3: Cross multiply
    573.19x = 722.81 × 722.81
  4. Step 4: Simplify right side
    573.19x = 522,457.91
  5. Step 5: Solve for x
    x = 522,457.91/573.19
  6. Step 6: Final answer
    x = 911.50

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.