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Finding the Third Proportional to 501,975 and 736,218

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Solution

The third proportional to 501,975 and 736,218 is: 1,079,768.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,975 : 736,218 = 736,218 : x
  2. Step 2: Convert to fraction form
    501,975/736,218 = 736,218/x
  3. Step 3: Cross multiply
    501,975x = 736,218 × 736,218
  4. Step 4: Simplify right side
    501,975x = 542,016,943,524
  5. Step 5: Solve for x
    x = 542,016,943,524/501,975
  6. Step 6: Final answer
    x = 1,079,768.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.