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Finding the Third Proportional to 367,454 and 520,084

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Solution

The third proportional to 367,454 and 520,084 is: 736,112.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,454 : 520,084 = 520,084 : x
  2. Step 2: Convert to fraction form
    367,454/520,084 = 520,084/x
  3. Step 3: Cross multiply
    367,454x = 520,084 × 520,084
  4. Step 4: Simplify right side
    367,454x = 270,487,367,056
  5. Step 5: Solve for x
    x = 270,487,367,056/367,454
  6. Step 6: Final answer
    x = 736,112.19

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.