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Finding the Third Proportional to 225,094 and 480,320

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Solution

The third proportional to 225,094 and 480,320 is: 1,024,937.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,094 : 480,320 = 480,320 : x
  2. Step 2: Convert to fraction form
    225,094/480,320 = 480,320/x
  3. Step 3: Cross multiply
    225,094x = 480,320 × 480,320
  4. Step 4: Simplify right side
    225,094x = 230,707,302,400
  5. Step 5: Solve for x
    x = 230,707,302,400/225,094
  6. Step 6: Final answer
    x = 1,024,937.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.