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Finding the Third Proportional to 341,828 and 745,162

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Solution

The third proportional to 341,828 and 745,162 is: 1,624,402.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,828 : 745,162 = 745,162 : x
  2. Step 2: Convert to fraction form
    341,828/745,162 = 745,162/x
  3. Step 3: Cross multiply
    341,828x = 745,162 × 745,162
  4. Step 4: Simplify right side
    341,828x = 555,266,406,244
  5. Step 5: Solve for x
    x = 555,266,406,244/341,828
  6. Step 6: Final answer
    x = 1,624,402.93

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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.