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Finding the Third Proportional to 383,476.78 and 595,410.75

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Solution

The third proportional to 383,476.78 and 595,410.75 is: 924,473.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,476.78 : 595,410.75 = 595,410.75 : x
  2. Step 2: Convert to fraction form
    383,476.78/595,410.75 = 595,410.75/x
  3. Step 3: Cross multiply
    383,476.78x = 595,410.75 × 595,410.75
  4. Step 4: Simplify right side
    383,476.78x = 354,513,961,215.56
  5. Step 5: Solve for x
    x = 354,513,961,215.56/383,476.78
  6. Step 6: Final answer
    x = 924,473.08

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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.