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Finding the Third Proportional to 559,322 and 790,683

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Solution

The third proportional to 559,322 and 790,683 is: 1,117,745.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,322 : 790,683 = 790,683 : x
  2. Step 2: Convert to fraction form
    559,322/790,683 = 790,683/x
  3. Step 3: Cross multiply
    559,322x = 790,683 × 790,683
  4. Step 4: Simplify right side
    559,322x = 625,179,606,489
  5. Step 5: Solve for x
    x = 625,179,606,489/559,322
  6. Step 6: Final answer
    x = 1,117,745.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.