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Finding the Third Proportional to 537,962 and 753,941

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Solution

The third proportional to 537,962 and 753,941 is: 1,056,630.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,962 : 753,941 = 753,941 : x
  2. Step 2: Convert to fraction form
    537,962/753,941 = 753,941/x
  3. Step 3: Cross multiply
    537,962x = 753,941 × 753,941
  4. Step 4: Simplify right side
    537,962x = 568,427,031,481
  5. Step 5: Solve for x
    x = 568,427,031,481/537,962
  6. Step 6: Final answer
    x = 1,056,630.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.