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Finding the Third Proportional to 334,147.50 and 705,555

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Solution

The third proportional to 334,147.50 and 705,555 is: 1,489,784.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,147.50 : 705,555 = 705,555 : x
  2. Step 2: Convert to fraction form
    334,147.50/705,555 = 705,555/x
  3. Step 3: Cross multiply
    334,147.50x = 705,555 × 705,555
  4. Step 4: Simplify right side
    334,147.50x = 497,807,858,025
  5. Step 5: Solve for x
    x = 497,807,858,025/334,147.50
  6. Step 6: Final answer
    x = 1,489,784.77

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.