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Finding the Third Proportional to 297,119 and 403,698

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Solution

The third proportional to 297,119 and 403,698 is: 548,507.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,119 : 403,698 = 403,698 : x
  2. Step 2: Convert to fraction form
    297,119/403,698 = 403,698/x
  3. Step 3: Cross multiply
    297,119x = 403,698 × 403,698
  4. Step 4: Simplify right side
    297,119x = 162,972,075,204
  5. Step 5: Solve for x
    x = 162,972,075,204/297,119
  6. Step 6: Final answer
    x = 548,507.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.