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Finding the Third Proportional to 537,390 and 816,777

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Solution

The third proportional to 537,390 and 816,777 is: 1,241,416.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,390 : 816,777 = 816,777 : x
  2. Step 2: Convert to fraction form
    537,390/816,777 = 816,777/x
  3. Step 3: Cross multiply
    537,390x = 816,777 × 816,777
  4. Step 4: Simplify right side
    537,390x = 667,124,667,729
  5. Step 5: Solve for x
    x = 667,124,667,729/537,390
  6. Step 6: Final answer
    x = 1,241,416.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.