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Finding the Third Proportional to 209,449.50 and 452,104.50

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Solution

The third proportional to 209,449.50 and 452,104.50 is: 975,884.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,449.50 : 452,104.50 = 452,104.50 : x
  2. Step 2: Convert to fraction form
    209,449.50/452,104.50 = 452,104.50/x
  3. Step 3: Cross multiply
    209,449.50x = 452,104.50 × 452,104.50
  4. Step 4: Simplify right side
    209,449.50x = 204,398,478,920.25
  5. Step 5: Solve for x
    x = 204,398,478,920.25/209,449.50
  6. Step 6: Final answer
    x = 975,884.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.