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Finding the Third Proportional to 325,602 and 697,923

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Solution

The third proportional to 325,602 and 697,923 is: 1,495,987.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,602 : 697,923 = 697,923 : x
  2. Step 2: Convert to fraction form
    325,602/697,923 = 697,923/x
  3. Step 3: Cross multiply
    325,602x = 697,923 × 697,923
  4. Step 4: Simplify right side
    325,602x = 487,096,513,929
  5. Step 5: Solve for x
    x = 487,096,513,929/325,602
  6. Step 6: Final answer
    x = 1,495,987.48

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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.