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Finding the Third Proportional to 304,026 and 661,566

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Solution

The third proportional to 304,026 and 661,566 is: 1,439,579.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,026 : 661,566 = 661,566 : x
  2. Step 2: Convert to fraction form
    304,026/661,566 = 661,566/x
  3. Step 3: Cross multiply
    304,026x = 661,566 × 661,566
  4. Step 4: Simplify right side
    304,026x = 437,669,572,356
  5. Step 5: Solve for x
    x = 437,669,572,356/304,026
  6. Step 6: Final answer
    x = 1,439,579.42

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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.