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Finding the Third Proportional to 570,372 and 797,463

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Solution

The third proportional to 570,372 and 797,463 is: 1,114,969.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,372 : 797,463 = 797,463 : x
  2. Step 2: Convert to fraction form
    570,372/797,463 = 797,463/x
  3. Step 3: Cross multiply
    570,372x = 797,463 × 797,463
  4. Step 4: Simplify right side
    570,372x = 635,947,236,369
  5. Step 5: Solve for x
    x = 635,947,236,369/570,372
  6. Step 6: Final answer
    x = 1,114,969.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.