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Finding the Third Proportional to 573.19 and 946.69

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Solution

The third proportional to 573.19 and 946.69 is: 1,563.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.19 : 946.69 = 946.69 : x
  2. Step 2: Convert to fraction form
    573.19/946.69 = 946.69/x
  3. Step 3: Cross multiply
    573.19x = 946.69 × 946.69
  4. Step 4: Simplify right side
    573.19x = 896,217.22
  5. Step 5: Solve for x
    x = 896,217.22/573.19
  6. Step 6: Final answer
    x = 1,563.57

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.