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Finding the Third Proportional to 334,671.75 and 687,159

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Solution

The third proportional to 334,671.75 and 687,159 is: 1,410,897.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,671.75 : 687,159 = 687,159 : x
  2. Step 2: Convert to fraction form
    334,671.75/687,159 = 687,159/x
  3. Step 3: Cross multiply
    334,671.75x = 687,159 × 687,159
  4. Step 4: Simplify right side
    334,671.75x = 472,187,491,281
  5. Step 5: Solve for x
    x = 472,187,491,281/334,671.75
  6. Step 6: Final answer
    x = 1,410,897.37

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.