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Finding the Third Proportional to 446,060.25 and 964,699.88

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Solution

The third proportional to 446,060.25 and 964,699.88 is: 2,086,368.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,060.25 : 964,699.88 = 964,699.88 : x
  2. Step 2: Convert to fraction form
    446,060.25/964,699.88 = 964,699.88/x
  3. Step 3: Cross multiply
    446,060.25x = 964,699.88 × 964,699.88
  4. Step 4: Simplify right side
    446,060.25x = 930,645,848,825.02
  5. Step 5: Solve for x
    x = 930,645,848,825.02/446,060.25
  6. Step 6: Final answer
    x = 2,086,368.04

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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.