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Finding the Third Proportional to 210,578 and 460,521

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Solution

The third proportional to 210,578 and 460,521 is: 1,007,130.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,578 : 460,521 = 460,521 : x
  2. Step 2: Convert to fraction form
    210,578/460,521 = 460,521/x
  3. Step 3: Cross multiply
    210,578x = 460,521 × 460,521
  4. Step 4: Simplify right side
    210,578x = 212,079,591,441
  5. Step 5: Solve for x
    x = 212,079,591,441/210,578
  6. Step 6: Final answer
    x = 1,007,130.81

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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.