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Finding the Third Proportional to 338,808 and 715,196

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Solution

The third proportional to 338,808 and 715,196 is: 1,509,720.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,808 : 715,196 = 715,196 : x
  2. Step 2: Convert to fraction form
    338,808/715,196 = 715,196/x
  3. Step 3: Cross multiply
    338,808x = 715,196 × 715,196
  4. Step 4: Simplify right side
    338,808x = 511,505,318,416
  5. Step 5: Solve for x
    x = 511,505,318,416/338,808
  6. Step 6: Final answer
    x = 1,509,720.31

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.