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Finding the Third Proportional to 862,768.50 and 1,334,531.25

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Solution

The third proportional to 862,768.50 and 1,334,531.25 is: 2,064,254.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,768.50 : 1,334,531.25 = 1,334,531.25 : x
  2. Step 2: Convert to fraction form
    862,768.50/1,334,531.25 = 1,334,531.25/x
  3. Step 3: Cross multiply
    862,768.50x = 1,334,531.25 × 1,334,531.25
  4. Step 4: Simplify right side
    862,768.50x = 1,780,973,657,226.56
  5. Step 5: Solve for x
    x = 1,780,973,657,226.56/862,768.50
  6. Step 6: Final answer
    x = 2,064,254.38

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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.