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Finding the Third Proportional to 340,638 and 740,748

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Solution

The third proportional to 340,638 and 740,748 is: 1,610,823.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,638 : 740,748 = 740,748 : x
  2. Step 2: Convert to fraction form
    340,638/740,748 = 740,748/x
  3. Step 3: Cross multiply
    340,638x = 740,748 × 740,748
  4. Step 4: Simplify right side
    340,638x = 548,707,599,504
  5. Step 5: Solve for x
    x = 548,707,599,504/340,638
  6. Step 6: Final answer
    x = 1,610,823.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.