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Finding the Third Proportional to 339,070.50 and 512,970.75

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Solution

The third proportional to 339,070.50 and 512,970.75 is: 776,059.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,070.50 : 512,970.75 = 512,970.75 : x
  2. Step 2: Convert to fraction form
    339,070.50/512,970.75 = 512,970.75/x
  3. Step 3: Cross multiply
    339,070.50x = 512,970.75 × 512,970.75
  4. Step 4: Simplify right side
    339,070.50x = 263,138,990,355.56
  5. Step 5: Solve for x
    x = 263,138,990,355.56/339,070.50
  6. Step 6: Final answer
    x = 776,059.82

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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.