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Finding the Third Proportional to 301,830 and 633,036

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Solution

The third proportional to 301,830 and 633,036 is: 1,327,683.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,830 : 633,036 = 633,036 : x
  2. Step 2: Convert to fraction form
    301,830/633,036 = 633,036/x
  3. Step 3: Cross multiply
    301,830x = 633,036 × 633,036
  4. Step 4: Simplify right side
    301,830x = 400,734,577,296
  5. Step 5: Solve for x
    x = 400,734,577,296/301,830
  6. Step 6: Final answer
    x = 1,327,683.06

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.