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Finding the Third Proportional to 300,558 and 464,763

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Solution

The third proportional to 300,558 and 464,763 is: 718,678.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,558 : 464,763 = 464,763 : x
  2. Step 2: Convert to fraction form
    300,558/464,763 = 464,763/x
  3. Step 3: Cross multiply
    300,558x = 464,763 × 464,763
  4. Step 4: Simplify right side
    300,558x = 216,004,646,169
  5. Step 5: Solve for x
    x = 216,004,646,169/300,558
  6. Step 6: Final answer
    x = 718,678.74

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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.