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Finding the Third Proportional to 325,580 and 697,885

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Solution

The third proportional to 325,580 and 697,885 is: 1,495,925.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,580 : 697,885 = 697,885 : x
  2. Step 2: Convert to fraction form
    325,580/697,885 = 697,885/x
  3. Step 3: Cross multiply
    325,580x = 697,885 × 697,885
  4. Step 4: Simplify right side
    325,580x = 487,043,473,225
  5. Step 5: Solve for x
    x = 487,043,473,225/325,580
  6. Step 6: Final answer
    x = 1,495,925.65

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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.