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Finding the Third Proportional to 338,974 and 464,813

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Solution

The third proportional to 338,974 and 464,813 is: 637,367.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,974 : 464,813 = 464,813 : x
  2. Step 2: Convert to fraction form
    338,974/464,813 = 464,813/x
  3. Step 3: Cross multiply
    338,974x = 464,813 × 464,813
  4. Step 4: Simplify right side
    338,974x = 216,051,124,969
  5. Step 5: Solve for x
    x = 216,051,124,969/338,974
  6. Step 6: Final answer
    x = 637,367.84

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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.