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Finding the Third Proportional to 588,784 and 933,832

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Solution

The third proportional to 588,784 and 933,832 is: 1,481,090.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,784 : 933,832 = 933,832 : x
  2. Step 2: Convert to fraction form
    588,784/933,832 = 933,832/x
  3. Step 3: Cross multiply
    588,784x = 933,832 × 933,832
  4. Step 4: Simplify right side
    588,784x = 872,042,204,224
  5. Step 5: Solve for x
    x = 872,042,204,224/588,784
  6. Step 6: Final answer
    x = 1,481,090.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.