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Finding the Third Proportional to 225,411 and 475,972

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Solution

The third proportional to 225,411 and 475,972 is: 1,005,050.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,411 : 475,972 = 475,972 : x
  2. Step 2: Convert to fraction form
    225,411/475,972 = 475,972/x
  3. Step 3: Cross multiply
    225,411x = 475,972 × 475,972
  4. Step 4: Simplify right side
    225,411x = 226,549,344,784
  5. Step 5: Solve for x
    x = 226,549,344,784/225,411
  6. Step 6: Final answer
    x = 1,005,050.09

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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.