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Finding the Third Proportional to 340,194 and 744,888

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Solution

The third proportional to 340,194 and 744,888 is: 1,631,005.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,194 : 744,888 = 744,888 : x
  2. Step 2: Convert to fraction form
    340,194/744,888 = 744,888/x
  3. Step 3: Cross multiply
    340,194x = 744,888 × 744,888
  4. Step 4: Simplify right side
    340,194x = 554,858,132,544
  5. Step 5: Solve for x
    x = 554,858,132,544/340,194
  6. Step 6: Final answer
    x = 1,631,005.05

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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.