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Finding the Third Proportional to 210,673 and 460,759

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Solution

The third proportional to 210,673 and 460,759 is: 1,007,717.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,673 : 460,759 = 460,759 : x
  2. Step 2: Convert to fraction form
    210,673/460,759 = 460,759/x
  3. Step 3: Cross multiply
    210,673x = 460,759 × 460,759
  4. Step 4: Simplify right side
    210,673x = 212,298,856,081
  5. Step 5: Solve for x
    x = 212,298,856,081/210,673
  6. Step 6: Final answer
    x = 1,007,717.44

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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.