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Finding the Third Proportional to 441,213 and 621,319

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Solution

The third proportional to 441,213 and 621,319 is: 874,945.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,213 : 621,319 = 621,319 : x
  2. Step 2: Convert to fraction form
    441,213/621,319 = 621,319/x
  3. Step 3: Cross multiply
    441,213x = 621,319 × 621,319
  4. Step 4: Simplify right side
    441,213x = 386,037,299,761
  5. Step 5: Solve for x
    x = 386,037,299,761/441,213
  6. Step 6: Final answer
    x = 874,945.43

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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.