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Finding the Third Proportional to 341,915.25 and 744,033.75

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Solution

The third proportional to 341,915.25 and 744,033.75 is: 1,619,074.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,915.25 : 744,033.75 = 744,033.75 : x
  2. Step 2: Convert to fraction form
    341,915.25/744,033.75 = 744,033.75/x
  3. Step 3: Cross multiply
    341,915.25x = 744,033.75 × 744,033.75
  4. Step 4: Simplify right side
    341,915.25x = 553,586,221,139.06
  5. Step 5: Solve for x
    x = 553,586,221,139.06/341,915.25
  6. Step 6: Final answer
    x = 1,619,074.38

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Why These Related Problems?

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