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Finding the Third Proportional to 354,664 and 788,059

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Solution

The third proportional to 354,664 and 788,059 is: 1,751,057.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,664 : 788,059 = 788,059 : x
  2. Step 2: Convert to fraction form
    354,664/788,059 = 788,059/x
  3. Step 3: Cross multiply
    354,664x = 788,059 × 788,059
  4. Step 4: Simplify right side
    354,664x = 621,036,987,481
  5. Step 5: Solve for x
    x = 621,036,987,481/354,664
  6. Step 6: Final answer
    x = 1,751,057.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.