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Finding the Third Proportional to 525,546 and 801,442

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Solution

The third proportional to 525,546 and 801,442 is: 1,222,175.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,546 : 801,442 = 801,442 : x
  2. Step 2: Convert to fraction form
    525,546/801,442 = 801,442/x
  3. Step 3: Cross multiply
    525,546x = 801,442 × 801,442
  4. Step 4: Simplify right side
    525,546x = 642,309,279,364
  5. Step 5: Solve for x
    x = 642,309,279,364/525,546
  6. Step 6: Final answer
    x = 1,222,175.18

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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.