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Finding the Third Proportional to 368,051 and 539,925

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Solution

The third proportional to 368,051 and 539,925 is: 792,061.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,051 : 539,925 = 539,925 : x
  2. Step 2: Convert to fraction form
    368,051/539,925 = 539,925/x
  3. Step 3: Cross multiply
    368,051x = 539,925 × 539,925
  4. Step 4: Simplify right side
    368,051x = 291,519,005,625
  5. Step 5: Solve for x
    x = 291,519,005,625/368,051
  6. Step 6: Final answer
    x = 792,061.44

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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.