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Finding the Third Proportional to 262,368 and 414,794

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Solution

The third proportional to 262,368 and 414,794 is: 655,773.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,368 : 414,794 = 414,794 : x
  2. Step 2: Convert to fraction form
    262,368/414,794 = 414,794/x
  3. Step 3: Cross multiply
    262,368x = 414,794 × 414,794
  4. Step 4: Simplify right side
    262,368x = 172,054,062,436
  5. Step 5: Solve for x
    x = 172,054,062,436/262,368
  6. Step 6: Final answer
    x = 655,773.81

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.