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Finding the Third Proportional to 317,738 and 465,915

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Solution

The third proportional to 317,738 and 465,915 is: 683,194.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,738 : 465,915 = 465,915 : x
  2. Step 2: Convert to fraction form
    317,738/465,915 = 465,915/x
  3. Step 3: Cross multiply
    317,738x = 465,915 × 465,915
  4. Step 4: Simplify right side
    317,738x = 217,076,787,225
  5. Step 5: Solve for x
    x = 217,076,787,225/317,738
  6. Step 6: Final answer
    x = 683,194.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.