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Finding the Third Proportional to 583,216.88 and 834,000.75

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Solution

The third proportional to 583,216.88 and 834,000.75 is: 1,192,621.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,216.88 : 834,000.75 = 834,000.75 : x
  2. Step 2: Convert to fraction form
    583,216.88/834,000.75 = 834,000.75/x
  3. Step 3: Cross multiply
    583,216.88x = 834,000.75 × 834,000.75
  4. Step 4: Simplify right side
    583,216.88x = 695,557,251,000.56
  5. Step 5: Solve for x
    x = 695,557,251,000.56/583,216.88
  6. Step 6: Final answer
    x = 1,192,621.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.