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Finding the Third Proportional to 234,701 and 506,817

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Solution

The third proportional to 234,701 and 506,817 is: 1,094,428.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,701 : 506,817 = 506,817 : x
  2. Step 2: Convert to fraction form
    234,701/506,817 = 506,817/x
  3. Step 3: Cross multiply
    234,701x = 506,817 × 506,817
  4. Step 4: Simplify right side
    234,701x = 256,863,471,489
  5. Step 5: Solve for x
    x = 256,863,471,489/234,701
  6. Step 6: Final answer
    x = 1,094,428.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.