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Finding the Third Proportional to 340,992 and 717,340.50

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Solution

The third proportional to 340,992 and 717,340.50 is: 1,509,060.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,992 : 717,340.50 = 717,340.50 : x
  2. Step 2: Convert to fraction form
    340,992/717,340.50 = 717,340.50/x
  3. Step 3: Cross multiply
    340,992x = 717,340.50 × 717,340.50
  4. Step 4: Simplify right side
    340,992x = 514,577,392,940.25
  5. Step 5: Solve for x
    x = 514,577,392,940.25/340,992
  6. Step 6: Final answer
    x = 1,509,060.02

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.