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Finding the Third Proportional to 205,416 and 452,304

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Solution

The third proportional to 205,416 and 452,304 is: 995,924.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,416 : 452,304 = 452,304 : x
  2. Step 2: Convert to fraction form
    205,416/452,304 = 452,304/x
  3. Step 3: Cross multiply
    205,416x = 452,304 × 452,304
  4. Step 4: Simplify right side
    205,416x = 204,578,908,416
  5. Step 5: Solve for x
    x = 204,578,908,416/205,416
  6. Step 6: Final answer
    x = 995,924.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.