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Finding the Third Proportional to 560,015.44 and 850,343.06

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Solution

The third proportional to 560,015.44 and 850,343.06 is: 1,291,184.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,015.44 : 850,343.06 = 850,343.06 : x
  2. Step 2: Convert to fraction form
    560,015.44/850,343.06 = 850,343.06/x
  3. Step 3: Cross multiply
    560,015.44x = 850,343.06 × 850,343.06
  4. Step 4: Simplify right side
    560,015.44x = 723,083,323,941.88
  5. Step 5: Solve for x
    x = 723,083,323,941.88/560,015.44
  6. Step 6: Final answer
    x = 1,291,184.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.