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Finding the Third Proportional to 210,576 and 460,517

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Solution

The third proportional to 210,576 and 460,517 is: 1,007,122.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,576 : 460,517 = 460,517 : x
  2. Step 2: Convert to fraction form
    210,576/460,517 = 460,517/x
  3. Step 3: Cross multiply
    210,576x = 460,517 × 460,517
  4. Step 4: Simplify right side
    210,576x = 212,075,907,289
  5. Step 5: Solve for x
    x = 212,075,907,289/210,576
  6. Step 6: Final answer
    x = 1,007,122.88

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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.