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Finding the Third Proportional to 584,421.75 and 933,612.75

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Solution

The third proportional to 584,421.75 and 933,612.75 is: 1,491,444.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,421.75 : 933,612.75 = 933,612.75 : x
  2. Step 2: Convert to fraction form
    584,421.75/933,612.75 = 933,612.75/x
  3. Step 3: Cross multiply
    584,421.75x = 933,612.75 × 933,612.75
  4. Step 4: Simplify right side
    584,421.75x = 871,632,766,962.56
  5. Step 5: Solve for x
    x = 871,632,766,962.56/584,421.75
  6. Step 6: Final answer
    x = 1,491,444.78

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.