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Finding the Third Proportional to 541,458 and 793,719

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Solution

The third proportional to 541,458 and 793,719 is: 1,163,506.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,458 : 793,719 = 793,719 : x
  2. Step 2: Convert to fraction form
    541,458/793,719 = 793,719/x
  3. Step 3: Cross multiply
    541,458x = 793,719 × 793,719
  4. Step 4: Simplify right side
    541,458x = 629,989,850,961
  5. Step 5: Solve for x
    x = 629,989,850,961/541,458
  6. Step 6: Final answer
    x = 1,163,506.40

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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.