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Finding the Third Proportional to 525,537 and 801,427

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Solution

The third proportional to 525,537 and 801,427 is: 1,222,150.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,537 : 801,427 = 801,427 : x
  2. Step 2: Convert to fraction form
    525,537/801,427 = 801,427/x
  3. Step 3: Cross multiply
    525,537x = 801,427 × 801,427
  4. Step 4: Simplify right side
    525,537x = 642,285,236,329
  5. Step 5: Solve for x
    x = 642,285,236,329/525,537
  6. Step 6: Final answer
    x = 1,222,150.36

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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.