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Finding the Third Proportional to 340,055 and 744,748

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Solution

The third proportional to 340,055 and 744,748 is: 1,631,058.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,055 : 744,748 = 744,748 : x
  2. Step 2: Convert to fraction form
    340,055/744,748 = 744,748/x
  3. Step 3: Cross multiply
    340,055x = 744,748 × 744,748
  4. Step 4: Simplify right side
    340,055x = 554,649,583,504
  5. Step 5: Solve for x
    x = 554,649,583,504/340,055
  6. Step 6: Final answer
    x = 1,631,058.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.