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Finding the Third Proportional to 469,698 and 727,443

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Solution

The third proportional to 469,698 and 727,443 is: 1,126,624.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,698 : 727,443 = 727,443 : x
  2. Step 2: Convert to fraction form
    469,698/727,443 = 727,443/x
  3. Step 3: Cross multiply
    469,698x = 727,443 × 727,443
  4. Step 4: Simplify right side
    469,698x = 529,173,318,249
  5. Step 5: Solve for x
    x = 529,173,318,249/469,698
  6. Step 6: Final answer
    x = 1,126,624.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.