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Finding the Third Proportional to 445,063.50 and 963,999

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Solution

The third proportional to 445,063.50 and 963,999 is: 2,088,003.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,063.50 : 963,999 = 963,999 : x
  2. Step 2: Convert to fraction form
    445,063.50/963,999 = 963,999/x
  3. Step 3: Cross multiply
    445,063.50x = 963,999 × 963,999
  4. Step 4: Simplify right side
    445,063.50x = 929,294,072,001
  5. Step 5: Solve for x
    x = 929,294,072,001/445,063.50
  6. Step 6: Final answer
    x = 2,088,003.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.