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Finding the Third Proportional to 210,079.50 and 460,977

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Solution

The third proportional to 210,079.50 and 460,977 is: 1,011,520.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,079.50 : 460,977 = 460,977 : x
  2. Step 2: Convert to fraction form
    210,079.50/460,977 = 460,977/x
  3. Step 3: Cross multiply
    210,079.50x = 460,977 × 460,977
  4. Step 4: Simplify right side
    210,079.50x = 212,499,794,529
  5. Step 5: Solve for x
    x = 212,499,794,529/210,079.50
  6. Step 6: Final answer
    x = 1,011,520.85

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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.