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Finding the Third Proportional to 269,246,656.50 and 589,569,262.50

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Solution

The third proportional to 269,246,656.50 and 589,569,262.50 is: 1,290,979,504.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,246,656.50 : 589,569,262.50 = 589,569,262.50 : x
  2. Step 2: Convert to fraction form
    269,246,656.50/589,569,262.50 = 589,569,262.50/x
  3. Step 3: Cross multiply
    269,246,656.50x = 589,569,262.50 × 589,569,262.50
  4. Step 4: Simplify right side
    269,246,656.50x = 347,591,915,284,793,920
  5. Step 5: Solve for x
    x = 347,591,915,284,793,920/269,246,656.50
  6. Step 6: Final answer
    x = 1,290,979,504.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.