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Finding the Third Proportional to 359,328 and 598,832

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Solution

The third proportional to 359,328 and 598,832 is: 997,973.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,328 : 598,832 = 598,832 : x
  2. Step 2: Convert to fraction form
    359,328/598,832 = 598,832/x
  3. Step 3: Cross multiply
    359,328x = 598,832 × 598,832
  4. Step 4: Simplify right side
    359,328x = 358,599,764,224
  5. Step 5: Solve for x
    x = 358,599,764,224/359,328
  6. Step 6: Final answer
    x = 997,973.34

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.