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Finding the Third Proportional to 253,719.94 and 545,712.19

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Solution

The third proportional to 253,719.94 and 545,712.19 is: 1,173,742.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,719.94 : 545,712.19 = 545,712.19 : x
  2. Step 2: Convert to fraction form
    253,719.94/545,712.19 = 545,712.19/x
  3. Step 3: Cross multiply
    253,719.94x = 545,712.19 × 545,712.19
  4. Step 4: Simplify right side
    253,719.94x = 297,801,791,586.04
  5. Step 5: Solve for x
    x = 297,801,791,586.04/253,719.94
  6. Step 6: Final answer
    x = 1,173,742.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.