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Finding the Third Proportional to 269,046.56 and 570,898.13

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Solution

The third proportional to 269,046.56 and 570,898.13 is: 1,211,406.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,046.56 : 570,898.13 = 570,898.13 : x
  2. Step 2: Convert to fraction form
    269,046.56/570,898.13 = 570,898.13/x
  3. Step 3: Cross multiply
    269,046.56x = 570,898.13 × 570,898.13
  4. Step 4: Simplify right side
    269,046.56x = 325,924,669,128.52
  5. Step 5: Solve for x
    x = 325,924,669,128.52/269,046.56
  6. Step 6: Final answer
    x = 1,211,406.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.