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Finding the Third Proportional to 325,608 and 697,935

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Solution

The third proportional to 325,608 and 697,935 is: 1,496,011.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,608 : 697,935 = 697,935 : x
  2. Step 2: Convert to fraction form
    325,608/697,935 = 697,935/x
  3. Step 3: Cross multiply
    325,608x = 697,935 × 697,935
  4. Step 4: Simplify right side
    325,608x = 487,113,264,225
  5. Step 5: Solve for x
    x = 487,113,264,225/325,608
  6. Step 6: Final answer
    x = 1,496,011.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.