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Finding the Third Proportional to 354,774 and 788,277

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Solution

The third proportional to 354,774 and 788,277 is: 1,751,483.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,774 : 788,277 = 788,277 : x
  2. Step 2: Convert to fraction form
    354,774/788,277 = 788,277/x
  3. Step 3: Cross multiply
    354,774x = 788,277 × 788,277
  4. Step 4: Simplify right side
    354,774x = 621,380,628,729
  5. Step 5: Solve for x
    x = 621,380,628,729/354,774
  6. Step 6: Final answer
    x = 1,751,483.00

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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.