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Finding the Third Proportional to 225,402 and 475,954.50

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Solution

The third proportional to 225,402 and 475,954.50 is: 1,005,016.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,402 : 475,954.50 = 475,954.50 : x
  2. Step 2: Convert to fraction form
    225,402/475,954.50 = 475,954.50/x
  3. Step 3: Cross multiply
    225,402x = 475,954.50 × 475,954.50
  4. Step 4: Simplify right side
    225,402x = 226,532,686,070.25
  5. Step 5: Solve for x
    x = 226,532,686,070.25/225,402
  6. Step 6: Final answer
    x = 1,005,016.31

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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.