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Finding the Third Proportional to 437,102 and 675,063

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Solution

The third proportional to 437,102 and 675,063 is: 1,042,571.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,102 : 675,063 = 675,063 : x
  2. Step 2: Convert to fraction form
    437,102/675,063 = 675,063/x
  3. Step 3: Cross multiply
    437,102x = 675,063 × 675,063
  4. Step 4: Simplify right side
    437,102x = 455,710,053,969
  5. Step 5: Solve for x
    x = 455,710,053,969/437,102
  6. Step 6: Final answer
    x = 1,042,571.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.