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Finding the Third Proportional to 383,604 and 567,969

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Solution

The third proportional to 383,604 and 567,969 is: 840,942.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,604 : 567,969 = 567,969 : x
  2. Step 2: Convert to fraction form
    383,604/567,969 = 567,969/x
  3. Step 3: Cross multiply
    383,604x = 567,969 × 567,969
  4. Step 4: Simplify right side
    383,604x = 322,588,784,961
  5. Step 5: Solve for x
    x = 322,588,784,961/383,604
  6. Step 6: Final answer
    x = 840,942.18

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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.