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Finding the Third Proportional to 264,414 and 402,817

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Solution

The third proportional to 264,414 and 402,817 is: 613,664.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,414 : 402,817 = 402,817 : x
  2. Step 2: Convert to fraction form
    264,414/402,817 = 402,817/x
  3. Step 3: Cross multiply
    264,414x = 402,817 × 402,817
  4. Step 4: Simplify right side
    264,414x = 162,261,535,489
  5. Step 5: Solve for x
    x = 162,261,535,489/264,414
  6. Step 6: Final answer
    x = 613,664.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.