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Finding the Third Proportional to 573.19 and 1,265.06

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Solution

The third proportional to 573.19 and 1,265.06 is: 2,792.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.19 : 1,265.06 = 1,265.06 : x
  2. Step 2: Convert to fraction form
    573.19/1,265.06 = 1,265.06/x
  3. Step 3: Cross multiply
    573.19x = 1,265.06 × 1,265.06
  4. Step 4: Simplify right side
    573.19x = 1,600,383.13
  5. Step 5: Solve for x
    x = 1,600,383.13/573.19
  6. Step 6: Final answer
    x = 2,792.08

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.