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Finding the Third Proportional to 583.63 and 1,263.63

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Solution

The third proportional to 583.63 and 1,263.63 is: 2,735.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.63 : 1,263.63 = 1,263.63 : x
  2. Step 2: Convert to fraction form
    583.63/1,263.63 = 1,263.63/x
  3. Step 3: Cross multiply
    583.63x = 1,263.63 × 1,263.63
  4. Step 4: Simplify right side
    583.63x = 1,596,748.14
  5. Step 5: Solve for x
    x = 1,596,748.14/583.63
  6. Step 6: Final answer
    x = 2,735.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.