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Finding the Third Proportional to 244,026 and 570,105

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Solution

The third proportional to 244,026 and 570,105 is: 1,331,906.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,026 : 570,105 = 570,105 : x
  2. Step 2: Convert to fraction form
    244,026/570,105 = 570,105/x
  3. Step 3: Cross multiply
    244,026x = 570,105 × 570,105
  4. Step 4: Simplify right side
    244,026x = 325,019,711,025
  5. Step 5: Solve for x
    x = 325,019,711,025/244,026
  6. Step 6: Final answer
    x = 1,331,906.07

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.