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Finding the Third Proportional to 340,191 and 713,187

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Solution

The third proportional to 340,191 and 713,187 is: 1,495,147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,191 : 713,187 = 713,187 : x
  2. Step 2: Convert to fraction form
    340,191/713,187 = 713,187/x
  3. Step 3: Cross multiply
    340,191x = 713,187 × 713,187
  4. Step 4: Simplify right side
    340,191x = 508,635,696,969
  5. Step 5: Solve for x
    x = 508,635,696,969/340,191
  6. Step 6: Final answer
    x = 1,495,147.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.