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Finding the Third Proportional to 533,012 and 810,432

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Solution

The third proportional to 533,012 and 810,432 is: 1,232,242.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,012 : 810,432 = 810,432 : x
  2. Step 2: Convert to fraction form
    533,012/810,432 = 810,432/x
  3. Step 3: Cross multiply
    533,012x = 810,432 × 810,432
  4. Step 4: Simplify right side
    533,012x = 656,800,026,624
  5. Step 5: Solve for x
    x = 656,800,026,624/533,012
  6. Step 6: Final answer
    x = 1,232,242.48

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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.