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Finding the Third Proportional to 317,174 and 463,852

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Solution

The third proportional to 317,174 and 463,852 is: 678,361.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,174 : 463,852 = 463,852 : x
  2. Step 2: Convert to fraction form
    317,174/463,852 = 463,852/x
  3. Step 3: Cross multiply
    317,174x = 463,852 × 463,852
  4. Step 4: Simplify right side
    317,174x = 215,158,677,904
  5. Step 5: Solve for x
    x = 215,158,677,904/317,174
  6. Step 6: Final answer
    x = 678,361.65

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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.