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Finding the Third Proportional to 296,252 and 651,796

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Solution

The third proportional to 296,252 and 651,796 is: 1,434,042.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,252 : 651,796 = 651,796 : x
  2. Step 2: Convert to fraction form
    296,252/651,796 = 651,796/x
  3. Step 3: Cross multiply
    296,252x = 651,796 × 651,796
  4. Step 4: Simplify right side
    296,252x = 424,838,025,616
  5. Step 5: Solve for x
    x = 424,838,025,616/296,252
  6. Step 6: Final answer
    x = 1,434,042.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.