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Finding the Third Proportional to 326,945 and 692,783

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Solution

The third proportional to 326,945 and 692,783 is: 1,467,978.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,945 : 692,783 = 692,783 : x
  2. Step 2: Convert to fraction form
    326,945/692,783 = 692,783/x
  3. Step 3: Cross multiply
    326,945x = 692,783 × 692,783
  4. Step 4: Simplify right side
    326,945x = 479,948,285,089
  5. Step 5: Solve for x
    x = 479,948,285,089/326,945
  6. Step 6: Final answer
    x = 1,467,978.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.