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Finding the Third Proportional to 296,890 and 647,061

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Solution

The third proportional to 296,890 and 647,061 is: 1,410,246.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,890 : 647,061 = 647,061 : x
  2. Step 2: Convert to fraction form
    296,890/647,061 = 647,061/x
  3. Step 3: Cross multiply
    296,890x = 647,061 × 647,061
  4. Step 4: Simplify right side
    296,890x = 418,687,937,721
  5. Step 5: Solve for x
    x = 418,687,937,721/296,890
  6. Step 6: Final answer
    x = 1,410,246.01

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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.