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Finding the Third Proportional to 541,469 and 793,733

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Solution

The third proportional to 541,469 and 793,733 is: 1,163,523.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,469 : 793,733 = 793,733 : x
  2. Step 2: Convert to fraction form
    541,469/793,733 = 793,733/x
  3. Step 3: Cross multiply
    541,469x = 793,733 × 793,733
  4. Step 4: Simplify right side
    541,469x = 630,012,075,289
  5. Step 5: Solve for x
    x = 630,012,075,289/541,469
  6. Step 6: Final answer
    x = 1,163,523.81

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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.