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Finding the Third Proportional to 316,622 and 463,845

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Solution

The third proportional to 316,622 and 463,845 is: 679,523.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,622 : 463,845 = 463,845 : x
  2. Step 2: Convert to fraction form
    316,622/463,845 = 463,845/x
  3. Step 3: Cross multiply
    316,622x = 463,845 × 463,845
  4. Step 4: Simplify right side
    316,622x = 215,152,184,025
  5. Step 5: Solve for x
    x = 215,152,184,025/316,622
  6. Step 6: Final answer
    x = 679,523.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.