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Finding the Third Proportional to 408,078 and 573,646

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Solution

The third proportional to 408,078 and 573,646 is: 806,389.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,078 : 573,646 = 573,646 : x
  2. Step 2: Convert to fraction form
    408,078/573,646 = 573,646/x
  3. Step 3: Cross multiply
    408,078x = 573,646 × 573,646
  4. Step 4: Simplify right side
    408,078x = 329,069,733,316
  5. Step 5: Solve for x
    x = 329,069,733,316/408,078
  6. Step 6: Final answer
    x = 806,389.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.