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Finding the Third Proportional to 339,858,101.53 and 524,800,356.75

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Solution

The third proportional to 339,858,101.53 and 524,800,356.75 is: 810,383,548.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,858,101.53 : 524,800,356.75 = 524,800,356.75 : x
  2. Step 2: Convert to fraction form
    339,858,101.53/524,800,356.75 = 524,800,356.75/x
  3. Step 3: Cross multiply
    339,858,101.53x = 524,800,356.75 × 524,800,356.75
  4. Step 4: Simplify right side
    339,858,101.53x = 275,415,414,444,927,264
  5. Step 5: Solve for x
    x = 275,415,414,444,927,264/339,858,101.53
  6. Step 6: Final answer
    x = 810,383,548.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.