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Finding the Third Proportional to 441,208 and 621,312

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Solution

The third proportional to 441,208 and 621,312 is: 874,935.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,208 : 621,312 = 621,312 : x
  2. Step 2: Convert to fraction form
    441,208/621,312 = 621,312/x
  3. Step 3: Cross multiply
    441,208x = 621,312 × 621,312
  4. Step 4: Simplify right side
    441,208x = 386,028,601,344
  5. Step 5: Solve for x
    x = 386,028,601,344/441,208
  6. Step 6: Final answer
    x = 874,935.63

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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.