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Finding the Third Proportional to 419,256 and 592,656

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Solution

The third proportional to 419,256 and 592,656 is: 837,772.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,256 : 592,656 = 592,656 : x
  2. Step 2: Convert to fraction form
    419,256/592,656 = 592,656/x
  3. Step 3: Cross multiply
    419,256x = 592,656 × 592,656
  4. Step 4: Simplify right side
    419,256x = 351,241,134,336
  5. Step 5: Solve for x
    x = 351,241,134,336/419,256
  6. Step 6: Final answer
    x = 837,772.47

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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.