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Finding the Third Proportional to 209,184 and 448,320

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Solution

The third proportional to 209,184 and 448,320 is: 960,832.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,184 : 448,320 = 448,320 : x
  2. Step 2: Convert to fraction form
    209,184/448,320 = 448,320/x
  3. Step 3: Cross multiply
    209,184x = 448,320 × 448,320
  4. Step 4: Simplify right side
    209,184x = 200,990,822,400
  5. Step 5: Solve for x
    x = 200,990,822,400/209,184
  6. Step 6: Final answer
    x = 960,832.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.