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Finding the Third Proportional to 295,845.75 and 648,004.50

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Solution

The third proportional to 295,845.75 and 648,004.50 is: 1,419,353.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,845.75 : 648,004.50 = 648,004.50 : x
  2. Step 2: Convert to fraction form
    295,845.75/648,004.50 = 648,004.50/x
  3. Step 3: Cross multiply
    295,845.75x = 648,004.50 × 648,004.50
  4. Step 4: Simplify right side
    295,845.75x = 419,909,832,020.25
  5. Step 5: Solve for x
    x = 419,909,832,020.25/295,845.75
  6. Step 6: Final answer
    x = 1,419,353.94

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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.