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Finding the Third Proportional to 595,863 and 911,675.25

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Solution

The third proportional to 595,863 and 911,675.25 is: 1,394,870.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,863 : 911,675.25 = 911,675.25 : x
  2. Step 2: Convert to fraction form
    595,863/911,675.25 = 911,675.25/x
  3. Step 3: Cross multiply
    595,863x = 911,675.25 × 911,675.25
  4. Step 4: Simplify right side
    595,863x = 831,151,761,462.56
  5. Step 5: Solve for x
    x = 831,151,761,462.56/595,863
  6. Step 6: Final answer
    x = 1,394,870.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.