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Finding the Third Proportional to 414,824.63 and 904,736.25

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Solution

The third proportional to 414,824.63 and 904,736.25 is: 1,973,237.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,824.63 : 904,736.25 = 904,736.25 : x
  2. Step 2: Convert to fraction form
    414,824.63/904,736.25 = 904,736.25/x
  3. Step 3: Cross multiply
    414,824.63x = 904,736.25 × 904,736.25
  4. Step 4: Simplify right side
    414,824.63x = 818,547,682,064.06
  5. Step 5: Solve for x
    x = 818,547,682,064.06/414,824.63
  6. Step 6: Final answer
    x = 1,973,237.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.