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Finding the Third Proportional to 451,304 and 960,564

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Solution

The third proportional to 451,304 and 960,564 is: 2,044,482.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,304 : 960,564 = 960,564 : x
  2. Step 2: Convert to fraction form
    451,304/960,564 = 960,564/x
  3. Step 3: Cross multiply
    451,304x = 960,564 × 960,564
  4. Step 4: Simplify right side
    451,304x = 922,683,198,096
  5. Step 5: Solve for x
    x = 922,683,198,096/451,304
  6. Step 6: Final answer
    x = 2,044,482.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.