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Finding the Third Proportional to 368,196 and 788,820

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Solution

The third proportional to 368,196 and 788,820 is: 1,689,961.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,196 : 788,820 = 788,820 : x
  2. Step 2: Convert to fraction form
    368,196/788,820 = 788,820/x
  3. Step 3: Cross multiply
    368,196x = 788,820 × 788,820
  4. Step 4: Simplify right side
    368,196x = 622,236,992,400
  5. Step 5: Solve for x
    x = 622,236,992,400/368,196
  6. Step 6: Final answer
    x = 1,689,961.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.