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Finding the Third Proportional to 541,536 and 793,830

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Solution

The third proportional to 541,536 and 793,830 is: 1,163,664.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,536 : 793,830 = 793,830 : x
  2. Step 2: Convert to fraction form
    541,536/793,830 = 793,830/x
  3. Step 3: Cross multiply
    541,536x = 793,830 × 793,830
  4. Step 4: Simplify right side
    541,536x = 630,166,068,900
  5. Step 5: Solve for x
    x = 630,166,068,900/541,536
  6. Step 6: Final answer
    x = 1,163,664.22

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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.