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Finding the Third Proportional to 325,556 and 676,062

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Solution

The third proportional to 325,556 and 676,062 is: 1,403,936.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,556 : 676,062 = 676,062 : x
  2. Step 2: Convert to fraction form
    325,556/676,062 = 676,062/x
  3. Step 3: Cross multiply
    325,556x = 676,062 × 676,062
  4. Step 4: Simplify right side
    325,556x = 457,059,827,844
  5. Step 5: Solve for x
    x = 457,059,827,844/325,556
  6. Step 6: Final answer
    x = 1,403,936.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.