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Finding the Third Proportional to 461,306 and 649,336

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Solution

The third proportional to 461,306 and 649,336 is: 914,007.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,306 : 649,336 = 649,336 : x
  2. Step 2: Convert to fraction form
    461,306/649,336 = 649,336/x
  3. Step 3: Cross multiply
    461,306x = 649,336 × 649,336
  4. Step 4: Simplify right side
    461,306x = 421,637,240,896
  5. Step 5: Solve for x
    x = 421,637,240,896/461,306
  6. Step 6: Final answer
    x = 914,007.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.