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Finding the Third Proportional to 431,699.63 and 603,844.88

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Solution

The third proportional to 431,699.63 and 603,844.88 is: 844,635.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,699.63 : 603,844.88 = 603,844.88 : x
  2. Step 2: Convert to fraction form
    431,699.63/603,844.88 = 603,844.88/x
  3. Step 3: Cross multiply
    431,699.63x = 603,844.88 × 603,844.88
  4. Step 4: Simplify right side
    431,699.63x = 364,628,633,063.77
  5. Step 5: Solve for x
    x = 364,628,633,063.77/431,699.63
  6. Step 6: Final answer
    x = 844,635.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.