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Finding the Third Proportional to 253,692 and 395,064

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Solution

The third proportional to 253,692 and 395,064 is: 615,216.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,692 : 395,064 = 395,064 : x
  2. Step 2: Convert to fraction form
    253,692/395,064 = 395,064/x
  3. Step 3: Cross multiply
    253,692x = 395,064 × 395,064
  4. Step 4: Simplify right side
    253,692x = 156,075,564,096
  5. Step 5: Solve for x
    x = 156,075,564,096/253,692
  6. Step 6: Final answer
    x = 615,216.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.