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Finding the Third Proportional to 209,516 and 452,232

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Solution

The third proportional to 209,516 and 452,232 is: 976,124.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,516 : 452,232 = 452,232 : x
  2. Step 2: Convert to fraction form
    209,516/452,232 = 452,232/x
  3. Step 3: Cross multiply
    209,516x = 452,232 × 452,232
  4. Step 4: Simplify right side
    209,516x = 204,513,781,824
  5. Step 5: Solve for x
    x = 204,513,781,824/209,516
  6. Step 6: Final answer
    x = 976,124.89

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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.