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Finding the Third Proportional to 352,848 and 832,817

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Solution

The third proportional to 352,848 and 832,817 is: 1,965,674.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,848 : 832,817 = 832,817 : x
  2. Step 2: Convert to fraction form
    352,848/832,817 = 832,817/x
  3. Step 3: Cross multiply
    352,848x = 832,817 × 832,817
  4. Step 4: Simplify right side
    352,848x = 693,584,155,489
  5. Step 5: Solve for x
    x = 693,584,155,489/352,848
  6. Step 6: Final answer
    x = 1,965,674.05

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.