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Finding the Third Proportional to 417,009.75 and 915,212.25

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Solution

The third proportional to 417,009.75 and 915,212.25 is: 2,008,618.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,009.75 : 915,212.25 = 915,212.25 : x
  2. Step 2: Convert to fraction form
    417,009.75/915,212.25 = 915,212.25/x
  3. Step 3: Cross multiply
    417,009.75x = 915,212.25 × 915,212.25
  4. Step 4: Simplify right side
    417,009.75x = 837,613,462,550.06
  5. Step 5: Solve for x
    x = 837,613,462,550.06/417,009.75
  6. Step 6: Final answer
    x = 2,008,618.41

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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.