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Finding the Third Proportional to 390,002 and 599,196

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Solution

The third proportional to 390,002 and 599,196 is: 920,600.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,002 : 599,196 = 599,196 : x
  2. Step 2: Convert to fraction form
    390,002/599,196 = 599,196/x
  3. Step 3: Cross multiply
    390,002x = 599,196 × 599,196
  4. Step 4: Simplify right side
    390,002x = 359,035,846,416
  5. Step 5: Solve for x
    x = 359,035,846,416/390,002
  6. Step 6: Final answer
    x = 920,600.01

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.