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Finding the Third Proportional to 336,966 and 506,817

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Solution

The third proportional to 336,966 and 506,817 is: 762,283.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,966 : 506,817 = 506,817 : x
  2. Step 2: Convert to fraction form
    336,966/506,817 = 506,817/x
  3. Step 3: Cross multiply
    336,966x = 506,817 × 506,817
  4. Step 4: Simplify right side
    336,966x = 256,863,471,489
  5. Step 5: Solve for x
    x = 256,863,471,489/336,966
  6. Step 6: Final answer
    x = 762,283.05

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Why These Related Problems?

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