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Finding the Third Proportional to 293,026 and 601,586

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Solution

The third proportional to 293,026 and 601,586 is: 1,235,063.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,026 : 601,586 = 601,586 : x
  2. Step 2: Convert to fraction form
    293,026/601,586 = 601,586/x
  3. Step 3: Cross multiply
    293,026x = 601,586 × 601,586
  4. Step 4: Simplify right side
    293,026x = 361,905,715,396
  5. Step 5: Solve for x
    x = 361,905,715,396/293,026
  6. Step 6: Final answer
    x = 1,235,063.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.