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Finding the Third Proportional to 337,154.63 and 717,216.75

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Solution

The third proportional to 337,154.63 and 717,216.75 is: 1,525,709.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,154.63 : 717,216.75 = 717,216.75 : x
  2. Step 2: Convert to fraction form
    337,154.63/717,216.75 = 717,216.75/x
  3. Step 3: Cross multiply
    337,154.63x = 717,216.75 × 717,216.75
  4. Step 4: Simplify right side
    337,154.63x = 514,399,866,480.56
  5. Step 5: Solve for x
    x = 514,399,866,480.56/337,154.63
  6. Step 6: Final answer
    x = 1,525,709.06

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.