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Finding the Third Proportional to 316,858 and 683,485

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Solution

The third proportional to 316,858 and 683,485 is: 1,474,325.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,858 : 683,485 = 683,485 : x
  2. Step 2: Convert to fraction form
    316,858/683,485 = 683,485/x
  3. Step 3: Cross multiply
    316,858x = 683,485 × 683,485
  4. Step 4: Simplify right side
    316,858x = 467,151,745,225
  5. Step 5: Solve for x
    x = 467,151,745,225/316,858
  6. Step 6: Final answer
    x = 1,474,325.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.