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Finding the Third Proportional to 300,057 and 464,463

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Solution

The third proportional to 300,057 and 464,463 is: 718,949.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,057 : 464,463 = 464,463 : x
  2. Step 2: Convert to fraction form
    300,057/464,463 = 464,463/x
  3. Step 3: Cross multiply
    300,057x = 464,463 × 464,463
  4. Step 4: Simplify right side
    300,057x = 215,725,878,369
  5. Step 5: Solve for x
    x = 215,725,878,369/300,057
  6. Step 6: Final answer
    x = 718,949.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.