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Finding the Third Proportional to 655,452 and 897,030

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Solution

The third proportional to 655,452 and 897,030 is: 1,227,645.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,452 : 897,030 = 897,030 : x
  2. Step 2: Convert to fraction form
    655,452/897,030 = 897,030/x
  3. Step 3: Cross multiply
    655,452x = 897,030 × 897,030
  4. Step 4: Simplify right side
    655,452x = 804,662,820,900
  5. Step 5: Solve for x
    x = 804,662,820,900/655,452
  6. Step 6: Final answer
    x = 1,227,645.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.