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Finding the Third Proportional to 335,412 and 501,788

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Solution

The third proportional to 335,412 and 501,788 is: 750,692.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,412 : 501,788 = 501,788 : x
  2. Step 2: Convert to fraction form
    335,412/501,788 = 501,788/x
  3. Step 3: Cross multiply
    335,412x = 501,788 × 501,788
  4. Step 4: Simplify right side
    335,412x = 251,791,196,944
  5. Step 5: Solve for x
    x = 251,791,196,944/335,412
  6. Step 6: Final answer
    x = 750,692.27

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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.