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Finding the Third Proportional to 295,866 and 648,047.25

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Solution

The third proportional to 295,866 and 648,047.25 is: 1,419,444.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,866 : 648,047.25 = 648,047.25 : x
  2. Step 2: Convert to fraction form
    295,866/648,047.25 = 648,047.25/x
  3. Step 3: Cross multiply
    295,866x = 648,047.25 × 648,047.25
  4. Step 4: Simplify right side
    295,866x = 419,965,238,232.56
  5. Step 5: Solve for x
    x = 419,965,238,232.56/295,866
  6. Step 6: Final answer
    x = 1,419,444.07

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