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Finding the Third Proportional to 273,362.63 and 384,783.75

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Solution

The third proportional to 273,362.63 and 384,783.75 is: 541,619.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,362.63 : 384,783.75 = 384,783.75 : x
  2. Step 2: Convert to fraction form
    273,362.63/384,783.75 = 384,783.75/x
  3. Step 3: Cross multiply
    273,362.63x = 384,783.75 × 384,783.75
  4. Step 4: Simplify right side
    273,362.63x = 148,058,534,264.06
  5. Step 5: Solve for x
    x = 148,058,534,264.06/273,362.63
  6. Step 6: Final answer
    x = 541,619.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.