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Finding the Third Proportional to 594,775 and 897,675

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Solution

The third proportional to 594,775 and 897,675 is: 1,354,832.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,775 : 897,675 = 897,675 : x
  2. Step 2: Convert to fraction form
    594,775/897,675 = 897,675/x
  3. Step 3: Cross multiply
    594,775x = 897,675 × 897,675
  4. Step 4: Simplify right side
    594,775x = 805,820,405,625
  5. Step 5: Solve for x
    x = 805,820,405,625/594,775
  6. Step 6: Final answer
    x = 1,354,832.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.