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Finding the Third Proportional to 296,084 and 651,204

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Solution

The third proportional to 296,084 and 651,204 is: 1,432,251.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,084 : 651,204 = 651,204 : x
  2. Step 2: Convert to fraction form
    296,084/651,204 = 651,204/x
  3. Step 3: Cross multiply
    296,084x = 651,204 × 651,204
  4. Step 4: Simplify right side
    296,084x = 424,066,649,616
  5. Step 5: Solve for x
    x = 424,066,649,616/296,084
  6. Step 6: Final answer
    x = 1,432,251.15

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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.