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Finding the Third Proportional to 252,464.63 and 552,435.47

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Solution

The third proportional to 252,464.63 and 552,435.47 is: 1,208,822.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,464.63 : 552,435.47 = 552,435.47 : x
  2. Step 2: Convert to fraction form
    252,464.63/552,435.47 = 552,435.47/x
  3. Step 3: Cross multiply
    252,464.63x = 552,435.47 × 552,435.47
  4. Step 4: Simplify right side
    252,464.63x = 305,184,947,133.03
  5. Step 5: Solve for x
    x = 305,184,947,133.03/252,464.63
  6. Step 6: Final answer
    x = 1,208,822.61

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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.