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Finding the Third Proportional to 398,047 and 595,611

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Solution

The third proportional to 398,047 and 595,611 is: 891,232.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,047 : 595,611 = 595,611 : x
  2. Step 2: Convert to fraction form
    398,047/595,611 = 595,611/x
  3. Step 3: Cross multiply
    398,047x = 595,611 × 595,611
  4. Step 4: Simplify right side
    398,047x = 354,752,463,321
  5. Step 5: Solve for x
    x = 354,752,463,321/398,047
  6. Step 6: Final answer
    x = 891,232.60

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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.