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Finding the Third Proportional to 384,593 and 597,054

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Solution

The third proportional to 384,593 and 597,054 is: 926,884.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,593 : 597,054 = 597,054 : x
  2. Step 2: Convert to fraction form
    384,593/597,054 = 597,054/x
  3. Step 3: Cross multiply
    384,593x = 597,054 × 597,054
  4. Step 4: Simplify right side
    384,593x = 356,473,478,916
  5. Step 5: Solve for x
    x = 356,473,478,916/384,593
  6. Step 6: Final answer
    x = 926,884.99

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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.