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Finding the Third Proportional to 265,368 and 397,077

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Solution

The third proportional to 265,368 and 397,077 is: 594,156.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,368 : 397,077 = 397,077 : x
  2. Step 2: Convert to fraction form
    265,368/397,077 = 397,077/x
  3. Step 3: Cross multiply
    265,368x = 397,077 × 397,077
  4. Step 4: Simplify right side
    265,368x = 157,670,143,929
  5. Step 5: Solve for x
    x = 157,670,143,929/265,368
  6. Step 6: Final answer
    x = 594,156.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.