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Finding the Third Proportional to 317,133 and 685,242

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Solution

The third proportional to 317,133 and 685,242 is: 1,480,629.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,133 : 685,242 = 685,242 : x
  2. Step 2: Convert to fraction form
    317,133/685,242 = 685,242/x
  3. Step 3: Cross multiply
    317,133x = 685,242 × 685,242
  4. Step 4: Simplify right side
    317,133x = 469,556,598,564
  5. Step 5: Solve for x
    x = 469,556,598,564/317,133
  6. Step 6: Final answer
    x = 1,480,629.89

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