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Finding the Third Proportional to 597.56 and 1,312.69

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Solution

The third proportional to 597.56 and 1,312.69 is: 2,883.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.56 : 1,312.69 = 1,312.69 : x
  2. Step 2: Convert to fraction form
    597.56/1,312.69 = 1,312.69/x
  3. Step 3: Cross multiply
    597.56x = 1,312.69 × 1,312.69
  4. Step 4: Simplify right side
    597.56x = 1,723,148.47
  5. Step 5: Solve for x
    x = 1,723,148.47/597.56
  6. Step 6: Final answer
    x = 2,883.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.