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Finding the Third Proportional to 588,807 and 933,875

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Solution

The third proportional to 588,807 and 933,875 is: 1,481,168.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,807 : 933,875 = 933,875 : x
  2. Step 2: Convert to fraction form
    588,807/933,875 = 933,875/x
  3. Step 3: Cross multiply
    588,807x = 933,875 × 933,875
  4. Step 4: Simplify right side
    588,807x = 872,122,515,625
  5. Step 5: Solve for x
    x = 872,122,515,625/588,807
  6. Step 6: Final answer
    x = 1,481,168.73

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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.