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Finding the Third Proportional to 316,844 and 683,584

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Solution

The third proportional to 316,844 and 683,584 is: 1,474,817.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,844 : 683,584 = 683,584 : x
  2. Step 2: Convert to fraction form
    316,844/683,584 = 683,584/x
  3. Step 3: Cross multiply
    316,844x = 683,584 × 683,584
  4. Step 4: Simplify right side
    316,844x = 467,287,085,056
  5. Step 5: Solve for x
    x = 467,287,085,056/316,844
  6. Step 6: Final answer
    x = 1,474,817.53

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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.