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Finding the Third Proportional to 228,840 and 478,593

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Solution

The third proportional to 228,840 and 478,593 is: 1,000,923.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,840 : 478,593 = 478,593 : x
  2. Step 2: Convert to fraction form
    228,840/478,593 = 478,593/x
  3. Step 3: Cross multiply
    228,840x = 478,593 × 478,593
  4. Step 4: Simplify right side
    228,840x = 229,051,259,649
  5. Step 5: Solve for x
    x = 229,051,259,649/228,840
  6. Step 6: Final answer
    x = 1,000,923.18

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.