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Finding the Third Proportional to 341,920.50 and 744,042.50

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Solution

The third proportional to 341,920.50 and 744,042.50 is: 1,619,087.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,920.50 : 744,042.50 = 744,042.50 : x
  2. Step 2: Convert to fraction form
    341,920.50/744,042.50 = 744,042.50/x
  3. Step 3: Cross multiply
    341,920.50x = 744,042.50 × 744,042.50
  4. Step 4: Simplify right side
    341,920.50x = 553,599,241,806.25
  5. Step 5: Solve for x
    x = 553,599,241,806.25/341,920.50
  6. Step 6: Final answer
    x = 1,619,087.60

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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.