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Finding the Third Proportional to 358,546 and 764,196

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Solution

The third proportional to 358,546 and 764,196 is: 1,628,788.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,546 : 764,196 = 764,196 : x
  2. Step 2: Convert to fraction form
    358,546/764,196 = 764,196/x
  3. Step 3: Cross multiply
    358,546x = 764,196 × 764,196
  4. Step 4: Simplify right side
    358,546x = 583,995,526,416
  5. Step 5: Solve for x
    x = 583,995,526,416/358,546
  6. Step 6: Final answer
    x = 1,628,788.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.