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Finding the Third Proportional to 520,350 and 1,135,005

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Solution

The third proportional to 520,350 and 1,135,005 is: 2,475,711.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,350 : 1,135,005 = 1,135,005 : x
  2. Step 2: Convert to fraction form
    520,350/1,135,005 = 1,135,005/x
  3. Step 3: Cross multiply
    520,350x = 1,135,005 × 1,135,005
  4. Step 4: Simplify right side
    520,350x = 1,288,236,350,025
  5. Step 5: Solve for x
    x = 1,288,236,350,025/520,350
  6. Step 6: Final answer
    x = 2,475,711.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.