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Finding the Third Proportional to 333,067 and 507,890

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Solution

The third proportional to 333,067 and 507,890 is: 774,475.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,067 : 507,890 = 507,890 : x
  2. Step 2: Convert to fraction form
    333,067/507,890 = 507,890/x
  3. Step 3: Cross multiply
    333,067x = 507,890 × 507,890
  4. Step 4: Simplify right side
    333,067x = 257,952,252,100
  5. Step 5: Solve for x
    x = 257,952,252,100/333,067
  6. Step 6: Final answer
    x = 774,475.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.