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Finding the Third Proportional to 264,735 and 399,543

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Solution

The third proportional to 264,735 and 399,543 is: 602,997.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,735 : 399,543 = 399,543 : x
  2. Step 2: Convert to fraction form
    264,735/399,543 = 399,543/x
  3. Step 3: Cross multiply
    264,735x = 399,543 × 399,543
  4. Step 4: Simplify right side
    264,735x = 159,634,608,849
  5. Step 5: Solve for x
    x = 159,634,608,849/264,735
  6. Step 6: Final answer
    x = 602,997.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.