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Finding the Third Proportional to 225,409 and 475,968

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Solution

The third proportional to 225,409 and 475,968 is: 1,005,042.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,409 : 475,968 = 475,968 : x
  2. Step 2: Convert to fraction form
    225,409/475,968 = 475,968/x
  3. Step 3: Cross multiply
    225,409x = 475,968 × 475,968
  4. Step 4: Simplify right side
    225,409x = 226,545,537,024
  5. Step 5: Solve for x
    x = 226,545,537,024/225,409
  6. Step 6: Final answer
    x = 1,005,042.11

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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.