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Finding the Third Proportional to 306,444 and 460,002

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Solution

The third proportional to 306,444 and 460,002 is: 690,507.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,444 : 460,002 = 460,002 : x
  2. Step 2: Convert to fraction form
    306,444/460,002 = 460,002/x
  3. Step 3: Cross multiply
    306,444x = 460,002 × 460,002
  4. Step 4: Simplify right side
    306,444x = 211,601,840,004
  5. Step 5: Solve for x
    x = 211,601,840,004/306,444
  6. Step 6: Final answer
    x = 690,507.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.