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Finding the Third Proportional to 325,559 and 676,068

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Solution

The third proportional to 325,559 and 676,068 is: 1,403,948.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,559 : 676,068 = 676,068 : x
  2. Step 2: Convert to fraction form
    325,559/676,068 = 676,068/x
  3. Step 3: Cross multiply
    325,559x = 676,068 × 676,068
  4. Step 4: Simplify right side
    325,559x = 457,067,940,624
  5. Step 5: Solve for x
    x = 457,067,940,624/325,559
  6. Step 6: Final answer
    x = 1,403,948.10

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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.