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Finding the Third Proportional to 367,071.75 and 753,907.50

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Solution

The third proportional to 367,071.75 and 753,907.50 is: 1,548,407.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,071.75 : 753,907.50 = 753,907.50 : x
  2. Step 2: Convert to fraction form
    367,071.75/753,907.50 = 753,907.50/x
  3. Step 3: Cross multiply
    367,071.75x = 753,907.50 × 753,907.50
  4. Step 4: Simplify right side
    367,071.75x = 568,376,518,556.25
  5. Step 5: Solve for x
    x = 568,376,518,556.25/367,071.75
  6. Step 6: Final answer
    x = 1,548,407.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.