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Finding the Third Proportional to 438,099.19 and 662,994.56

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Solution

The third proportional to 438,099.19 and 662,994.56 is: 1,003,338.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,099.19 : 662,994.56 = 662,994.56 : x
  2. Step 2: Convert to fraction form
    438,099.19/662,994.56 = 662,994.56/x
  3. Step 3: Cross multiply
    438,099.19x = 662,994.56 × 662,994.56
  4. Step 4: Simplify right side
    438,099.19x = 439,561,789,904.57
  5. Step 5: Solve for x
    x = 439,561,789,904.57/438,099.19
  6. Step 6: Final answer
    x = 1,003,338.52

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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.