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Finding the Third Proportional to 392,698.50 and 600,462

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Solution

The third proportional to 392,698.50 and 600,462 is: 918,146.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,698.50 : 600,462 = 600,462 : x
  2. Step 2: Convert to fraction form
    392,698.50/600,462 = 600,462/x
  3. Step 3: Cross multiply
    392,698.50x = 600,462 × 600,462
  4. Step 4: Simplify right side
    392,698.50x = 360,554,613,444
  5. Step 5: Solve for x
    x = 360,554,613,444/392,698.50
  6. Step 6: Final answer
    x = 918,146.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.