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Finding the Third Proportional to 296,980 and 647,574

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Solution

The third proportional to 296,980 and 647,574 is: 1,412,054.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,980 : 647,574 = 647,574 : x
  2. Step 2: Convert to fraction form
    296,980/647,574 = 647,574/x
  3. Step 3: Cross multiply
    296,980x = 647,574 × 647,574
  4. Step 4: Simplify right side
    296,980x = 419,352,085,476
  5. Step 5: Solve for x
    x = 419,352,085,476/296,980
  6. Step 6: Final answer
    x = 1,412,054.97

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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.