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Finding the Third Proportional to 540,758.50 and 1,251,820.75

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Solution

The third proportional to 540,758.50 and 1,251,820.75 is: 2,897,883.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,758.50 : 1,251,820.75 = 1,251,820.75 : x
  2. Step 2: Convert to fraction form
    540,758.50/1,251,820.75 = 1,251,820.75/x
  3. Step 3: Cross multiply
    540,758.50x = 1,251,820.75 × 1,251,820.75
  4. Step 4: Simplify right side
    540,758.50x = 1,567,055,190,130.56
  5. Step 5: Solve for x
    x = 1,567,055,190,130.56/540,758.50
  6. Step 6: Final answer
    x = 2,897,883.60

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.