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Finding the Third Proportional to 209,094 and 452,748

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Solution

The third proportional to 209,094 and 452,748 is: 980,328.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,094 : 452,748 = 452,748 : x
  2. Step 2: Convert to fraction form
    209,094/452,748 = 452,748/x
  3. Step 3: Cross multiply
    209,094x = 452,748 × 452,748
  4. Step 4: Simplify right side
    209,094x = 204,980,751,504
  5. Step 5: Solve for x
    x = 204,980,751,504/209,094
  6. Step 6: Final answer
    x = 980,328.23

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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.