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Finding the Third Proportional to 213,299 and 466,773

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Solution

The third proportional to 213,299 and 466,773 is: 1,021,462.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,299 : 466,773 = 466,773 : x
  2. Step 2: Convert to fraction form
    213,299/466,773 = 466,773/x
  3. Step 3: Cross multiply
    213,299x = 466,773 × 466,773
  4. Step 4: Simplify right side
    213,299x = 217,877,033,529
  5. Step 5: Solve for x
    x = 217,877,033,529/213,299
  6. Step 6: Final answer
    x = 1,021,462.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.