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Finding the Third Proportional to 419,268 and 592,695

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Solution

The third proportional to 419,268 and 592,695 is: 837,858.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,268 : 592,695 = 592,695 : x
  2. Step 2: Convert to fraction form
    419,268/592,695 = 592,695/x
  3. Step 3: Cross multiply
    419,268x = 592,695 × 592,695
  4. Step 4: Simplify right side
    419,268x = 351,287,363,025
  5. Step 5: Solve for x
    x = 351,287,363,025/419,268
  6. Step 6: Final answer
    x = 837,858.75

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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.