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Finding the Third Proportional to 469,760 and 706,912

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Solution

The third proportional to 469,760 and 706,912 is: 1,063,786.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,760 : 706,912 = 706,912 : x
  2. Step 2: Convert to fraction form
    469,760/706,912 = 706,912/x
  3. Step 3: Cross multiply
    469,760x = 706,912 × 706,912
  4. Step 4: Simplify right side
    469,760x = 499,724,575,744
  5. Step 5: Solve for x
    x = 499,724,575,744/469,760
  6. Step 6: Final answer
    x = 1,063,786.99

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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.