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Finding the Third Proportional to 234,663 and 480,260

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Solution

The third proportional to 234,663 and 480,260 is: 982,897.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,663 : 480,260 = 480,260 : x
  2. Step 2: Convert to fraction form
    234,663/480,260 = 480,260/x
  3. Step 3: Cross multiply
    234,663x = 480,260 × 480,260
  4. Step 4: Simplify right side
    234,663x = 230,649,667,600
  5. Step 5: Solve for x
    x = 230,649,667,600/234,663
  6. Step 6: Final answer
    x = 982,897.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.