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Finding the Third Proportional to 335,902.50 and 520,083

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Solution

The third proportional to 335,902.50 and 520,083 is: 805,252.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,902.50 : 520,083 = 520,083 : x
  2. Step 2: Convert to fraction form
    335,902.50/520,083 = 520,083/x
  3. Step 3: Cross multiply
    335,902.50x = 520,083 × 520,083
  4. Step 4: Simplify right side
    335,902.50x = 270,486,326,889
  5. Step 5: Solve for x
    x = 270,486,326,889/335,902.50
  6. Step 6: Final answer
    x = 805,252.50

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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.