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Finding the Third Proportional to 341,819 and 745,145

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Solution

The third proportional to 341,819 and 745,145 is: 1,624,371.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,819 : 745,145 = 745,145 : x
  2. Step 2: Convert to fraction form
    341,819/745,145 = 745,145/x
  3. Step 3: Cross multiply
    341,819x = 745,145 × 745,145
  4. Step 4: Simplify right side
    341,819x = 555,241,071,025
  5. Step 5: Solve for x
    x = 555,241,071,025/341,819
  6. Step 6: Final answer
    x = 1,624,371.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.