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Finding the Third Proportional to 590,322 and 885,611

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Solution

The third proportional to 590,322 and 885,611 is: 1,328,608.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,322 : 885,611 = 885,611 : x
  2. Step 2: Convert to fraction form
    590,322/885,611 = 885,611/x
  3. Step 3: Cross multiply
    590,322x = 885,611 × 885,611
  4. Step 4: Simplify right side
    590,322x = 784,306,843,321
  5. Step 5: Solve for x
    x = 784,306,843,321/590,322
  6. Step 6: Final answer
    x = 1,328,608.53

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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.