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Finding the Third Proportional to 441,054 and 621,113.06

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Solution

The third proportional to 441,054 and 621,113.06 is: 874,680.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,054 : 621,113.06 = 621,113.06 : x
  2. Step 2: Convert to fraction form
    441,054/621,113.06 = 621,113.06/x
  3. Step 3: Cross multiply
    441,054x = 621,113.06 × 621,113.06
  4. Step 4: Simplify right side
    441,054x = 385,781,436,408.13
  5. Step 5: Solve for x
    x = 385,781,436,408.13/441,054
  6. Step 6: Final answer
    x = 874,680.73

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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.