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Finding the Third Proportional to 441,216 and 621,322

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Solution

The third proportional to 441,216 and 621,322 is: 874,947.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,216 : 621,322 = 621,322 : x
  2. Step 2: Convert to fraction form
    441,216/621,322 = 621,322/x
  3. Step 3: Cross multiply
    441,216x = 621,322 × 621,322
  4. Step 4: Simplify right side
    441,216x = 386,041,027,684
  5. Step 5: Solve for x
    x = 386,041,027,684/441,216
  6. Step 6: Final answer
    x = 874,947.93

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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.