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Finding the Third Proportional to 438,096.94 and 662,991.19

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Solution

The third proportional to 438,096.94 and 662,991.19 is: 1,003,333.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,096.94 : 662,991.19 = 662,991.19 : x
  2. Step 2: Convert to fraction form
    438,096.94/662,991.19 = 662,991.19/x
  3. Step 3: Cross multiply
    438,096.94x = 662,991.19 × 662,991.19
  4. Step 4: Simplify right side
    438,096.94x = 439,557,314,702.66
  5. Step 5: Solve for x
    x = 439,557,314,702.66/438,096.94
  6. Step 6: Final answer
    x = 1,003,333.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.