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Finding the Third Proportional to 583,796.25 and 875,694.38

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Solution

The third proportional to 583,796.25 and 875,694.38 is: 1,313,541.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,796.25 : 875,694.38 = 875,694.38 : x
  2. Step 2: Convert to fraction form
    583,796.25/875,694.38 = 875,694.38/x
  3. Step 3: Cross multiply
    583,796.25x = 875,694.38 × 875,694.38
  4. Step 4: Simplify right side
    583,796.25x = 766,840,638,406.64
  5. Step 5: Solve for x
    x = 766,840,638,406.64/583,796.25
  6. Step 6: Final answer
    x = 1,313,541.56

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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.