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Finding the Third Proportional to 340,611 and 515,632.50

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Solution

The third proportional to 340,611 and 515,632.50 is: 780,588.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,611 : 515,632.50 = 515,632.50 : x
  2. Step 2: Convert to fraction form
    340,611/515,632.50 = 515,632.50/x
  3. Step 3: Cross multiply
    340,611x = 515,632.50 × 515,632.50
  4. Step 4: Simplify right side
    340,611x = 265,876,875,056.25
  5. Step 5: Solve for x
    x = 265,876,875,056.25/340,611
  6. Step 6: Final answer
    x = 780,588.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.