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Finding the Third Proportional to 312,813 and 669,906

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Solution

The third proportional to 312,813 and 669,906 is: 1,434,640.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,813 : 669,906 = 669,906 : x
  2. Step 2: Convert to fraction form
    312,813/669,906 = 669,906/x
  3. Step 3: Cross multiply
    312,813x = 669,906 × 669,906
  4. Step 4: Simplify right side
    312,813x = 448,774,048,836
  5. Step 5: Solve for x
    x = 448,774,048,836/312,813
  6. Step 6: Final answer
    x = 1,434,640.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.