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Finding the Third Proportional to 471,954 and 747,669

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Solution

The third proportional to 471,954 and 747,669 is: 1,184,456.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,954 : 747,669 = 747,669 : x
  2. Step 2: Convert to fraction form
    471,954/747,669 = 747,669/x
  3. Step 3: Cross multiply
    471,954x = 747,669 × 747,669
  4. Step 4: Simplify right side
    471,954x = 559,008,933,561
  5. Step 5: Solve for x
    x = 559,008,933,561/471,954
  6. Step 6: Final answer
    x = 1,184,456.40

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.