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Finding the Third Proportional to 359,208 and 538,815

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Solution

The third proportional to 359,208 and 538,815 is: 808,227.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,208 : 538,815 = 538,815 : x
  2. Step 2: Convert to fraction form
    359,208/538,815 = 538,815/x
  3. Step 3: Cross multiply
    359,208x = 538,815 × 538,815
  4. Step 4: Simplify right side
    359,208x = 290,321,604,225
  5. Step 5: Solve for x
    x = 290,321,604,225/359,208
  6. Step 6: Final answer
    x = 808,227.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.