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Finding the Third Proportional to 443,464 and 1,005,304

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Solution

The third proportional to 443,464 and 1,005,304 is: 2,278,958.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,464 : 1,005,304 = 1,005,304 : x
  2. Step 2: Convert to fraction form
    443,464/1,005,304 = 1,005,304/x
  3. Step 3: Cross multiply
    443,464x = 1,005,304 × 1,005,304
  4. Step 4: Simplify right side
    443,464x = 1,010,636,132,416
  5. Step 5: Solve for x
    x = 1,010,636,132,416/443,464
  6. Step 6: Final answer
    x = 2,278,958.68

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.