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Finding the Third Proportional to 414,650.81 and 904,334.63

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Solution

The third proportional to 414,650.81 and 904,334.63 is: 1,972,312.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,650.81 : 904,334.63 = 904,334.63 : x
  2. Step 2: Convert to fraction form
    414,650.81/904,334.63 = 904,334.63/x
  3. Step 3: Cross multiply
    414,650.81x = 904,334.63 × 904,334.63
  4. Step 4: Simplify right side
    414,650.81x = 817,821,113,973.89
  5. Step 5: Solve for x
    x = 817,821,113,973.89/414,650.81
  6. Step 6: Final answer
    x = 1,972,312.82

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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.