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Finding the Third Proportional to 541,472 and 793,738

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Solution

The third proportional to 541,472 and 793,738 is: 1,163,532.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,472 : 793,738 = 793,738 : x
  2. Step 2: Convert to fraction form
    541,472/793,738 = 793,738/x
  3. Step 3: Cross multiply
    541,472x = 793,738 × 793,738
  4. Step 4: Simplify right side
    541,472x = 630,020,012,644
  5. Step 5: Solve for x
    x = 630,020,012,644/541,472
  6. Step 6: Final answer
    x = 1,163,532.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.