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Finding the Third Proportional to 300,411 and 464,994

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Solution

The third proportional to 300,411 and 464,994 is: 719,745.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,411 : 464,994 = 464,994 : x
  2. Step 2: Convert to fraction form
    300,411/464,994 = 464,994/x
  3. Step 3: Cross multiply
    300,411x = 464,994 × 464,994
  4. Step 4: Simplify right side
    300,411x = 216,219,420,036
  5. Step 5: Solve for x
    x = 216,219,420,036/300,411
  6. Step 6: Final answer
    x = 719,745.35

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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.