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Finding the Third Proportional to 311,958 and 446,114

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Solution

The third proportional to 311,958 and 446,114 is: 637,963.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,958 : 446,114 = 446,114 : x
  2. Step 2: Convert to fraction form
    311,958/446,114 = 446,114/x
  3. Step 3: Cross multiply
    311,958x = 446,114 × 446,114
  4. Step 4: Simplify right side
    311,958x = 199,017,700,996
  5. Step 5: Solve for x
    x = 199,017,700,996/311,958
  6. Step 6: Final answer
    x = 637,963.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.