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Finding the Third Proportional to 383,591.50 and 567,953

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Solution

The third proportional to 383,591.50 and 567,953 is: 840,922.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,591.50 : 567,953 = 567,953 : x
  2. Step 2: Convert to fraction form
    383,591.50/567,953 = 567,953/x
  3. Step 3: Cross multiply
    383,591.50x = 567,953 × 567,953
  4. Step 4: Simplify right side
    383,591.50x = 322,570,610,209
  5. Step 5: Solve for x
    x = 322,570,610,209/383,591.50
  6. Step 6: Final answer
    x = 840,922.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.