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Finding the Third Proportional to 209,492 and 452,184

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Solution

The third proportional to 209,492 and 452,184 is: 976,029.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,492 : 452,184 = 452,184 : x
  2. Step 2: Convert to fraction form
    209,492/452,184 = 452,184/x
  3. Step 3: Cross multiply
    209,492x = 452,184 × 452,184
  4. Step 4: Simplify right side
    209,492x = 204,470,369,856
  5. Step 5: Solve for x
    x = 204,470,369,856/209,492
  6. Step 6: Final answer
    x = 976,029.49

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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.