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Finding the Third Proportional to 364,474 and 788,852

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Solution

The third proportional to 364,474 and 788,852 is: 1,707,357.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,474 : 788,852 = 788,852 : x
  2. Step 2: Convert to fraction form
    364,474/788,852 = 788,852/x
  3. Step 3: Cross multiply
    364,474x = 788,852 × 788,852
  4. Step 4: Simplify right side
    364,474x = 622,287,477,904
  5. Step 5: Solve for x
    x = 622,287,477,904/364,474
  6. Step 6: Final answer
    x = 1,707,357.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.