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Finding the Third Proportional to 295,868 and 648,052

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Solution

The third proportional to 295,868 and 648,052 is: 1,419,455.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,868 : 648,052 = 648,052 : x
  2. Step 2: Convert to fraction form
    295,868/648,052 = 648,052/x
  3. Step 3: Cross multiply
    295,868x = 648,052 × 648,052
  4. Step 4: Simplify right side
    295,868x = 419,971,394,704
  5. Step 5: Solve for x
    x = 419,971,394,704/295,868
  6. Step 6: Final answer
    x = 1,419,455.28

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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.