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Finding the Third Proportional to 447,700 and 966,304

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Solution

The third proportional to 447,700 and 966,304 is: 2,085,645.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,700 : 966,304 = 966,304 : x
  2. Step 2: Convert to fraction form
    447,700/966,304 = 966,304/x
  3. Step 3: Cross multiply
    447,700x = 966,304 × 966,304
  4. Step 4: Simplify right side
    447,700x = 933,743,420,416
  5. Step 5: Solve for x
    x = 933,743,420,416/447,700
  6. Step 6: Final answer
    x = 2,085,645.34

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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.