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Finding the Third Proportional to 536.94 and 1,254.55

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Solution

The third proportional to 536.94 and 1,254.55 is: 2,931.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.94 : 1,254.55 = 1,254.55 : x
  2. Step 2: Convert to fraction form
    536.94/1,254.55 = 1,254.55/x
  3. Step 3: Cross multiply
    536.94x = 1,254.55 × 1,254.55
  4. Step 4: Simplify right side
    536.94x = 1,573,897.66
  5. Step 5: Solve for x
    x = 1,573,897.66/536.94
  6. Step 6: Final answer
    x = 2,931.23

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.