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Finding the Third Proportional to 383,410.13 and 567,712.13

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Solution

The third proportional to 383,410.13 and 567,712.13 is: 840,606.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,410.13 : 567,712.13 = 567,712.13 : x
  2. Step 2: Convert to fraction form
    383,410.13/567,712.13 = 567,712.13/x
  3. Step 3: Cross multiply
    383,410.13x = 567,712.13 × 567,712.13
  4. Step 4: Simplify right side
    383,410.13x = 322,297,056,872.02
  5. Step 5: Solve for x
    x = 322,297,056,872.02/383,410.13
  6. Step 6: Final answer
    x = 840,606.54

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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.