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Finding the Third Proportional to 397,414 and 597,750

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Solution

The third proportional to 397,414 and 597,750 is: 899,075.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,414 : 597,750 = 597,750 : x
  2. Step 2: Convert to fraction form
    397,414/597,750 = 597,750/x
  3. Step 3: Cross multiply
    397,414x = 597,750 × 597,750
  4. Step 4: Simplify right side
    397,414x = 357,305,062,500
  5. Step 5: Solve for x
    x = 357,305,062,500/397,414
  6. Step 6: Final answer
    x = 899,075.18

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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.