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Finding the Third Proportional to 314,016 and 474,096

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Solution

The third proportional to 314,016 and 474,096 is: 715,782.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,016 : 474,096 = 474,096 : x
  2. Step 2: Convert to fraction form
    314,016/474,096 = 474,096/x
  3. Step 3: Cross multiply
    314,016x = 474,096 × 474,096
  4. Step 4: Simplify right side
    314,016x = 224,767,017,216
  5. Step 5: Solve for x
    x = 224,767,017,216/314,016
  6. Step 6: Final answer
    x = 715,782.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.