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Finding the Third Proportional to 441,458 and 952,859.50

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Solution

The third proportional to 441,458 and 952,859.50 is: 2,056,687.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,458 : 952,859.50 = 952,859.50 : x
  2. Step 2: Convert to fraction form
    441,458/952,859.50 = 952,859.50/x
  3. Step 3: Cross multiply
    441,458x = 952,859.50 × 952,859.50
  4. Step 4: Simplify right side
    441,458x = 907,941,226,740.25
  5. Step 5: Solve for x
    x = 907,941,226,740.25/441,458
  6. Step 6: Final answer
    x = 2,056,687.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.