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Finding the Third Proportional to 359,334 and 538,956

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Solution

The third proportional to 359,334 and 538,956 is: 808,366.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,334 : 538,956 = 538,956 : x
  2. Step 2: Convert to fraction form
    359,334/538,956 = 538,956/x
  3. Step 3: Cross multiply
    359,334x = 538,956 × 538,956
  4. Step 4: Simplify right side
    359,334x = 290,473,569,936
  5. Step 5: Solve for x
    x = 290,473,569,936/359,334
  6. Step 6: Final answer
    x = 808,366.51

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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.