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Finding the Third Proportional to 359,588 and 538,734

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Solution

The third proportional to 359,588 and 538,734 is: 807,130.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,588 : 538,734 = 538,734 : x
  2. Step 2: Convert to fraction form
    359,588/538,734 = 538,734/x
  3. Step 3: Cross multiply
    359,588x = 538,734 × 538,734
  4. Step 4: Simplify right side
    359,588x = 290,234,322,756
  5. Step 5: Solve for x
    x = 290,234,322,756/359,588
  6. Step 6: Final answer
    x = 807,130.17

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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.