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Finding the Third Proportional to 341,908.31 and 744,019.88

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Solution

The third proportional to 341,908.31 and 744,019.88 is: 1,619,046.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,908.31 : 744,019.88 = 744,019.88 : x
  2. Step 2: Convert to fraction form
    341,908.31/744,019.88 = 744,019.88/x
  3. Step 3: Cross multiply
    341,908.31x = 744,019.88 × 744,019.88
  4. Step 4: Simplify right side
    341,908.31x = 553,565,574,395.02
  5. Step 5: Solve for x
    x = 553,565,574,395.02/341,908.31
  6. Step 6: Final answer
    x = 1,619,046.84

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.