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Finding the Third Proportional to 353,038 and 764,036

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Solution

The third proportional to 353,038 and 764,036 is: 1,653,507.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,038 : 764,036 = 764,036 : x
  2. Step 2: Convert to fraction form
    353,038/764,036 = 764,036/x
  3. Step 3: Cross multiply
    353,038x = 764,036 × 764,036
  4. Step 4: Simplify right side
    353,038x = 583,751,009,296
  5. Step 5: Solve for x
    x = 583,751,009,296/353,038
  6. Step 6: Final answer
    x = 1,653,507.58

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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.