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Finding the Third Proportional to 362,248 and 500,524

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Solution

The third proportional to 362,248 and 500,524 is: 691,582.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,248 : 500,524 = 500,524 : x
  2. Step 2: Convert to fraction form
    362,248/500,524 = 500,524/x
  3. Step 3: Cross multiply
    362,248x = 500,524 × 500,524
  4. Step 4: Simplify right side
    362,248x = 250,524,274,576
  5. Step 5: Solve for x
    x = 250,524,274,576/362,248
  6. Step 6: Final answer
    x = 691,582.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.