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Finding the Third Proportional to 264,424 and 578,912

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Solution

The third proportional to 264,424 and 578,912 is: 1,267,430.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,424 : 578,912 = 578,912 : x
  2. Step 2: Convert to fraction form
    264,424/578,912 = 578,912/x
  3. Step 3: Cross multiply
    264,424x = 578,912 × 578,912
  4. Step 4: Simplify right side
    264,424x = 335,139,103,744
  5. Step 5: Solve for x
    x = 335,139,103,744/264,424
  6. Step 6: Final answer
    x = 1,267,430.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.