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Finding the Third Proportional to 297,898 and 638,437

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Solution

The third proportional to 297,898 and 638,437 is: 1,368,259.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,898 : 638,437 = 638,437 : x
  2. Step 2: Convert to fraction form
    297,898/638,437 = 638,437/x
  3. Step 3: Cross multiply
    297,898x = 638,437 × 638,437
  4. Step 4: Simplify right side
    297,898x = 407,601,802,969
  5. Step 5: Solve for x
    x = 407,601,802,969/297,898
  6. Step 6: Final answer
    x = 1,368,259.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.