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Finding the Third Proportional to 501,824 and 752,889

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Solution

The third proportional to 501,824 and 752,889 is: 1,129,563.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,824 : 752,889 = 752,889 : x
  2. Step 2: Convert to fraction form
    501,824/752,889 = 752,889/x
  3. Step 3: Cross multiply
    501,824x = 752,889 × 752,889
  4. Step 4: Simplify right side
    501,824x = 566,841,846,321
  5. Step 5: Solve for x
    x = 566,841,846,321/501,824
  6. Step 6: Final answer
    x = 1,129,563.05

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Why These Related Problems?

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