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Finding the Third Proportional to 525,539 and 801,431

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Solution

The third proportional to 525,539 and 801,431 is: 1,222,157.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,539 : 801,431 = 801,431 : x
  2. Step 2: Convert to fraction form
    525,539/801,431 = 801,431/x
  3. Step 3: Cross multiply
    525,539x = 801,431 × 801,431
  4. Step 4: Simplify right side
    525,539x = 642,291,647,761
  5. Step 5: Solve for x
    x = 642,291,647,761/525,539
  6. Step 6: Final answer
    x = 1,222,157.91

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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.