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Finding the Third Proportional to 541,457 and 793,716

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Solution

The third proportional to 541,457 and 793,716 is: 1,163,499.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,457 : 793,716 = 793,716 : x
  2. Step 2: Convert to fraction form
    541,457/793,716 = 793,716/x
  3. Step 3: Cross multiply
    541,457x = 793,716 × 793,716
  4. Step 4: Simplify right side
    541,457x = 629,985,088,656
  5. Step 5: Solve for x
    x = 629,985,088,656/541,457
  6. Step 6: Final answer
    x = 1,163,499.76

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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.