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Finding the Third Proportional to 533,008 and 810,426

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Solution

The third proportional to 533,008 and 810,426 is: 1,232,233.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,008 : 810,426 = 810,426 : x
  2. Step 2: Convert to fraction form
    533,008/810,426 = 810,426/x
  3. Step 3: Cross multiply
    533,008x = 810,426 × 810,426
  4. Step 4: Simplify right side
    533,008x = 656,790,301,476
  5. Step 5: Solve for x
    x = 656,790,301,476/533,008
  6. Step 6: Final answer
    x = 1,232,233.48

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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.