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Finding the Third Proportional to 398,043 and 595,606

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Solution

The third proportional to 398,043 and 595,606 is: 891,226.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,043 : 595,606 = 595,606 : x
  2. Step 2: Convert to fraction form
    398,043/595,606 = 595,606/x
  3. Step 3: Cross multiply
    398,043x = 595,606 × 595,606
  4. Step 4: Simplify right side
    398,043x = 354,746,507,236
  5. Step 5: Solve for x
    x = 354,746,507,236/398,043
  6. Step 6: Final answer
    x = 891,226.59

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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.