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Finding the Third Proportional to 270,089.25 and 580,210.50

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Solution

The third proportional to 270,089.25 and 580,210.50 is: 1,246,418.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,089.25 : 580,210.50 = 580,210.50 : x
  2. Step 2: Convert to fraction form
    270,089.25/580,210.50 = 580,210.50/x
  3. Step 3: Cross multiply
    270,089.25x = 580,210.50 × 580,210.50
  4. Step 4: Simplify right side
    270,089.25x = 336,644,224,310.25
  5. Step 5: Solve for x
    x = 336,644,224,310.25/270,089.25
  6. Step 6: Final answer
    x = 1,246,418.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.