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Finding the Third Proportional to 228,389 and 491,773

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Solution

The third proportional to 228,389 and 491,773 is: 1,058,898.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,389 : 491,773 = 491,773 : x
  2. Step 2: Convert to fraction form
    228,389/491,773 = 491,773/x
  3. Step 3: Cross multiply
    228,389x = 491,773 × 491,773
  4. Step 4: Simplify right side
    228,389x = 241,840,683,529
  5. Step 5: Solve for x
    x = 241,840,683,529/228,389
  6. Step 6: Final answer
    x = 1,058,898.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.