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Finding the Third Proportional to 541,454 and 793,713

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Solution

The third proportional to 541,454 and 793,713 is: 1,163,497.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,454 : 793,713 = 793,713 : x
  2. Step 2: Convert to fraction form
    541,454/793,713 = 793,713/x
  3. Step 3: Cross multiply
    541,454x = 793,713 × 793,713
  4. Step 4: Simplify right side
    541,454x = 629,980,326,369
  5. Step 5: Solve for x
    x = 629,980,326,369/541,454
  6. Step 6: Final answer
    x = 1,163,497.41

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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.