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Finding the Third Proportional to 300,396 and 464,973

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Solution

The third proportional to 300,396 and 464,973 is: 719,716.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,396 : 464,973 = 464,973 : x
  2. Step 2: Convert to fraction form
    300,396/464,973 = 464,973/x
  3. Step 3: Cross multiply
    300,396x = 464,973 × 464,973
  4. Step 4: Simplify right side
    300,396x = 216,199,890,729
  5. Step 5: Solve for x
    x = 216,199,890,729/300,396
  6. Step 6: Final answer
    x = 719,716.28

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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.