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Finding the Third Proportional to 225,359 and 456,940

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Solution

The third proportional to 225,359 and 456,940 is: 926,495.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,359 : 456,940 = 456,940 : x
  2. Step 2: Convert to fraction form
    225,359/456,940 = 456,940/x
  3. Step 3: Cross multiply
    225,359x = 456,940 × 456,940
  4. Step 4: Simplify right side
    225,359x = 208,794,163,600
  5. Step 5: Solve for x
    x = 208,794,163,600/225,359
  6. Step 6: Final answer
    x = 926,495.78

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.