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Finding the Third Proportional to 325,316 and 692,104

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Solution

The third proportional to 325,316 and 692,104 is: 1,472,438.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,316 : 692,104 = 692,104 : x
  2. Step 2: Convert to fraction form
    325,316/692,104 = 692,104/x
  3. Step 3: Cross multiply
    325,316x = 692,104 × 692,104
  4. Step 4: Simplify right side
    325,316x = 479,007,946,816
  5. Step 5: Solve for x
    x = 479,007,946,816/325,316
  6. Step 6: Final answer
    x = 1,472,438.94

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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.