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Finding the Third Proportional to 314,450 and 678,958

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Solution

The third proportional to 314,450 and 678,958 is: 1,466,000.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,450 : 678,958 = 678,958 : x
  2. Step 2: Convert to fraction form
    314,450/678,958 = 678,958/x
  3. Step 3: Cross multiply
    314,450x = 678,958 × 678,958
  4. Step 4: Simplify right side
    314,450x = 460,983,965,764
  5. Step 5: Solve for x
    x = 460,983,965,764/314,450
  6. Step 6: Final answer
    x = 1,466,000.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.