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Finding the Third Proportional to 223,362 and 471,564

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Solution

The third proportional to 223,362 and 471,564 is: 995,570.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,362 : 471,564 = 471,564 : x
  2. Step 2: Convert to fraction form
    223,362/471,564 = 471,564/x
  3. Step 3: Cross multiply
    223,362x = 471,564 × 471,564
  4. Step 4: Simplify right side
    223,362x = 222,372,606,096
  5. Step 5: Solve for x
    x = 222,372,606,096/223,362
  6. Step 6: Final answer
    x = 995,570.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.