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Finding the Third Proportional to 233,286.75 and 510,907.50

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Solution

The third proportional to 233,286.75 and 510,907.50 is: 1,118,908.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,286.75 : 510,907.50 = 510,907.50 : x
  2. Step 2: Convert to fraction form
    233,286.75/510,907.50 = 510,907.50/x
  3. Step 3: Cross multiply
    233,286.75x = 510,907.50 × 510,907.50
  4. Step 4: Simplify right side
    233,286.75x = 261,026,473,556.25
  5. Step 5: Solve for x
    x = 261,026,473,556.25/233,286.75
  6. Step 6: Final answer
    x = 1,118,908.27

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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.