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Finding the Third Proportional to 500,816 and 775,524

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Solution

The third proportional to 500,816 and 775,524 is: 1,200,915.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,816 : 775,524 = 775,524 : x
  2. Step 2: Convert to fraction form
    500,816/775,524 = 775,524/x
  3. Step 3: Cross multiply
    500,816x = 775,524 × 775,524
  4. Step 4: Simplify right side
    500,816x = 601,437,474,576
  5. Step 5: Solve for x
    x = 601,437,474,576/500,816
  6. Step 6: Final answer
    x = 1,200,915.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.