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Finding the Third Proportional to 325,324 and 692,120

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Solution

The third proportional to 325,324 and 692,120 is: 1,472,470.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,324 : 692,120 = 692,120 : x
  2. Step 2: Convert to fraction form
    325,324/692,120 = 692,120/x
  3. Step 3: Cross multiply
    325,324x = 692,120 × 692,120
  4. Step 4: Simplify right side
    325,324x = 479,030,094,400
  5. Step 5: Solve for x
    x = 479,030,094,400/325,324
  6. Step 6: Final answer
    x = 1,472,470.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.