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Finding the Third Proportional to 263,005 and 372,146

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Solution

The third proportional to 263,005 and 372,146 is: 526,577.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,005 : 372,146 = 372,146 : x
  2. Step 2: Convert to fraction form
    263,005/372,146 = 372,146/x
  3. Step 3: Cross multiply
    263,005x = 372,146 × 372,146
  4. Step 4: Simplify right side
    263,005x = 138,492,645,316
  5. Step 5: Solve for x
    x = 138,492,645,316/263,005
  6. Step 6: Final answer
    x = 526,577.99

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.