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Finding the Third Proportional to 325,122 and 695,308

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Solution

The third proportional to 325,122 and 695,308 is: 1,486,990.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,122 : 695,308 = 695,308 : x
  2. Step 2: Convert to fraction form
    325,122/695,308 = 695,308/x
  3. Step 3: Cross multiply
    325,122x = 695,308 × 695,308
  4. Step 4: Simplify right side
    325,122x = 483,453,214,864
  5. Step 5: Solve for x
    x = 483,453,214,864/325,122
  6. Step 6: Final answer
    x = 1,486,990.16

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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.