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Finding the Third Proportional to 341,918.50 and 744,039

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Solution

The third proportional to 341,918.50 and 744,039 is: 1,619,081.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,918.50 : 744,039 = 744,039 : x
  2. Step 2: Convert to fraction form
    341,918.50/744,039 = 744,039/x
  3. Step 3: Cross multiply
    341,918.50x = 744,039 × 744,039
  4. Step 4: Simplify right side
    341,918.50x = 553,594,033,521
  5. Step 5: Solve for x
    x = 553,594,033,521/341,918.50
  6. Step 6: Final answer
    x = 1,619,081.84

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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.