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Finding the Third Proportional to 296,366 and 648,946

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Solution

The third proportional to 296,366 and 648,946 is: 1,420,982.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,366 : 648,946 = 648,946 : x
  2. Step 2: Convert to fraction form
    296,366/648,946 = 648,946/x
  3. Step 3: Cross multiply
    296,366x = 648,946 × 648,946
  4. Step 4: Simplify right side
    296,366x = 421,130,910,916
  5. Step 5: Solve for x
    x = 421,130,910,916/296,366
  6. Step 6: Final answer
    x = 1,420,982.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.