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Finding the Third Proportional to 325,426 and 700,806

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Solution

The third proportional to 325,426 and 700,806 is: 1,509,188.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,426 : 700,806 = 700,806 : x
  2. Step 2: Convert to fraction form
    325,426/700,806 = 700,806/x
  3. Step 3: Cross multiply
    325,426x = 700,806 × 700,806
  4. Step 4: Simplify right side
    325,426x = 491,129,049,636
  5. Step 5: Solve for x
    x = 491,129,049,636/325,426
  6. Step 6: Final answer
    x = 1,509,188.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.