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Finding the Third Proportional to 295,850 and 648,013

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Solution

The third proportional to 295,850 and 648,013 is: 1,419,370.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,850 : 648,013 = 648,013 : x
  2. Step 2: Convert to fraction form
    295,850/648,013 = 648,013/x
  3. Step 3: Cross multiply
    295,850x = 648,013 × 648,013
  4. Step 4: Simplify right side
    295,850x = 419,920,848,169
  5. Step 5: Solve for x
    x = 419,920,848,169/295,850
  6. Step 6: Final answer
    x = 1,419,370.79

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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.