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Finding the Third Proportional to 469,573 and 706,512

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Solution

The third proportional to 469,573 and 706,512 is: 1,063,006.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,573 : 706,512 = 706,512 : x
  2. Step 2: Convert to fraction form
    469,573/706,512 = 706,512/x
  3. Step 3: Cross multiply
    469,573x = 706,512 × 706,512
  4. Step 4: Simplify right side
    469,573x = 499,159,206,144
  5. Step 5: Solve for x
    x = 499,159,206,144/469,573
  6. Step 6: Final answer
    x = 1,063,006.62

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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.