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Finding the Third Proportional to 385,923 and 596,380.50

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Solution

The third proportional to 385,923 and 596,380.50 is: 921,607.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,923 : 596,380.50 = 596,380.50 : x
  2. Step 2: Convert to fraction form
    385,923/596,380.50 = 596,380.50/x
  3. Step 3: Cross multiply
    385,923x = 596,380.50 × 596,380.50
  4. Step 4: Simplify right side
    385,923x = 355,669,700,780.25
  5. Step 5: Solve for x
    x = 355,669,700,780.25/385,923
  6. Step 6: Final answer
    x = 921,607.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.