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Finding the Third Proportional to 304,841 and 434,842

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Solution

The third proportional to 304,841 and 434,842 is: 620,282.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,841 : 434,842 = 434,842 : x
  2. Step 2: Convert to fraction form
    304,841/434,842 = 434,842/x
  3. Step 3: Cross multiply
    304,841x = 434,842 × 434,842
  4. Step 4: Simplify right side
    304,841x = 189,087,564,964
  5. Step 5: Solve for x
    x = 189,087,564,964/304,841
  6. Step 6: Final answer
    x = 620,282.59

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.