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Finding the Third Proportional to 601,279.88 and 1,252,312.31

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Solution

The third proportional to 601,279.88 and 1,252,312.31 is: 2,608,246.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,279.88 : 1,252,312.31 = 1,252,312.31 : x
  2. Step 2: Convert to fraction form
    601,279.88/1,252,312.31 = 1,252,312.31/x
  3. Step 3: Cross multiply
    601,279.88x = 1,252,312.31 × 1,252,312.31
  4. Step 4: Simplify right side
    601,279.88x = 1,568,286,128,039.10
  5. Step 5: Solve for x
    x = 1,568,286,128,039.10/601,279.88
  6. Step 6: Final answer
    x = 2,608,246.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.