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Finding the Third Proportional to 297,958 and 425,636

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Solution

The third proportional to 297,958 and 425,636 is: 608,025.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,958 : 425,636 = 425,636 : x
  2. Step 2: Convert to fraction form
    297,958/425,636 = 425,636/x
  3. Step 3: Cross multiply
    297,958x = 425,636 × 425,636
  4. Step 4: Simplify right side
    297,958x = 181,166,004,496
  5. Step 5: Solve for x
    x = 181,166,004,496/297,958
  6. Step 6: Final answer
    x = 608,025.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.