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Finding the Third Proportional to 326,664 and 692,993.25

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Solution

The third proportional to 326,664 and 692,993.25 is: 1,470,133.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,664 : 692,993.25 = 692,993.25 : x
  2. Step 2: Convert to fraction form
    326,664/692,993.25 = 692,993.25/x
  3. Step 3: Cross multiply
    326,664x = 692,993.25 × 692,993.25
  4. Step 4: Simplify right side
    326,664x = 480,239,644,545.56
  5. Step 5: Solve for x
    x = 480,239,644,545.56/326,664
  6. Step 6: Final answer
    x = 1,470,133.36

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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.