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Finding the Third Proportional to 209,312 and 452,104

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Solution

The third proportional to 209,312 and 452,104 is: 976,523.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,312 : 452,104 = 452,104 : x
  2. Step 2: Convert to fraction form
    209,312/452,104 = 452,104/x
  3. Step 3: Cross multiply
    209,312x = 452,104 × 452,104
  4. Step 4: Simplify right side
    209,312x = 204,398,026,816
  5. Step 5: Solve for x
    x = 204,398,026,816/209,312
  6. Step 6: Final answer
    x = 976,523.21

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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.