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Finding the Third Proportional to 296,434 and 649,364

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Solution

The third proportional to 296,434 and 649,364 is: 1,422,487.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,434 : 649,364 = 649,364 : x
  2. Step 2: Convert to fraction form
    296,434/649,364 = 649,364/x
  3. Step 3: Cross multiply
    296,434x = 649,364 × 649,364
  4. Step 4: Simplify right side
    296,434x = 421,673,604,496
  5. Step 5: Solve for x
    x = 421,673,604,496/296,434
  6. Step 6: Final answer
    x = 1,422,487.31

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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.