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Finding the Third Proportional to 454,304 and 700,408

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Solution

The third proportional to 454,304 and 700,408 is: 1,079,830.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,304 : 700,408 = 700,408 : x
  2. Step 2: Convert to fraction form
    454,304/700,408 = 700,408/x
  3. Step 3: Cross multiply
    454,304x = 700,408 × 700,408
  4. Step 4: Simplify right side
    454,304x = 490,571,366,464
  5. Step 5: Solve for x
    x = 490,571,366,464/454,304
  6. Step 6: Final answer
    x = 1,079,830.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.