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Finding the Third Proportional to 406,100 and 597,376

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Solution

The third proportional to 406,100 and 597,376 is: 878,744.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,100 : 597,376 = 597,376 : x
  2. Step 2: Convert to fraction form
    406,100/597,376 = 597,376/x
  3. Step 3: Cross multiply
    406,100x = 597,376 × 597,376
  4. Step 4: Simplify right side
    406,100x = 356,858,085,376
  5. Step 5: Solve for x
    x = 356,858,085,376/406,100
  6. Step 6: Final answer
    x = 878,744.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.