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Finding the Third Proportional to 359,305 and 598,805

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Solution

The third proportional to 359,305 and 598,805 is: 997,947.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,305 : 598,805 = 598,805 : x
  2. Step 2: Convert to fraction form
    359,305/598,805 = 598,805/x
  3. Step 3: Cross multiply
    359,305x = 598,805 × 598,805
  4. Step 4: Simplify right side
    359,305x = 358,567,428,025
  5. Step 5: Solve for x
    x = 358,567,428,025/359,305
  6. Step 6: Final answer
    x = 997,947.23

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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.