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Finding the Third Proportional to 295,450 and 648,085

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Solution

The third proportional to 295,450 and 648,085 is: 1,421,608.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,450 : 648,085 = 648,085 : x
  2. Step 2: Convert to fraction form
    295,450/648,085 = 648,085/x
  3. Step 3: Cross multiply
    295,450x = 648,085 × 648,085
  4. Step 4: Simplify right side
    295,450x = 420,014,167,225
  5. Step 5: Solve for x
    x = 420,014,167,225/295,450
  6. Step 6: Final answer
    x = 1,421,608.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.