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Finding the Third Proportional to 225,426 and 533,106

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Solution

The third proportional to 225,426 and 533,106 is: 1,260,733.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,426 : 533,106 = 533,106 : x
  2. Step 2: Convert to fraction form
    225,426/533,106 = 533,106/x
  3. Step 3: Cross multiply
    225,426x = 533,106 × 533,106
  4. Step 4: Simplify right side
    225,426x = 284,202,007,236
  5. Step 5: Solve for x
    x = 284,202,007,236/225,426
  6. Step 6: Final answer
    x = 1,260,733.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.