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Finding the Third Proportional to 335,822.63 and 519,999.75

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Solution

The third proportional to 335,822.63 and 519,999.75 is: 805,186.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,822.63 : 519,999.75 = 519,999.75 : x
  2. Step 2: Convert to fraction form
    335,822.63/519,999.75 = 519,999.75/x
  3. Step 3: Cross multiply
    335,822.63x = 519,999.75 × 519,999.75
  4. Step 4: Simplify right side
    335,822.63x = 270,399,740,000.06
  5. Step 5: Solve for x
    x = 270,399,740,000.06/335,822.63
  6. Step 6: Final answer
    x = 805,186.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.