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Finding the Third Proportional to 210,004 and 466,232

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Solution

The third proportional to 210,004 and 466,232 is: 1,035,086.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,004 : 466,232 = 466,232 : x
  2. Step 2: Convert to fraction form
    210,004/466,232 = 466,232/x
  3. Step 3: Cross multiply
    210,004x = 466,232 × 466,232
  4. Step 4: Simplify right side
    210,004x = 217,372,277,824
  5. Step 5: Solve for x
    x = 217,372,277,824/210,004
  6. Step 6: Final answer
    x = 1,035,086.37

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.