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Finding the Third Proportional to 301,152 and 440,396

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Solution

The third proportional to 301,152 and 440,396 is: 644,022.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,152 : 440,396 = 440,396 : x
  2. Step 2: Convert to fraction form
    301,152/440,396 = 440,396/x
  3. Step 3: Cross multiply
    301,152x = 440,396 × 440,396
  4. Step 4: Simplify right side
    301,152x = 193,948,636,816
  5. Step 5: Solve for x
    x = 193,948,636,816/301,152
  6. Step 6: Final answer
    x = 644,022.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.