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Finding the Third Proportional to 301,422 and 456,013

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Solution

The third proportional to 301,422 and 456,013 is: 689,889.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,422 : 456,013 = 456,013 : x
  2. Step 2: Convert to fraction form
    301,422/456,013 = 456,013/x
  3. Step 3: Cross multiply
    301,422x = 456,013 × 456,013
  4. Step 4: Simplify right side
    301,422x = 207,947,856,169
  5. Step 5: Solve for x
    x = 207,947,856,169/301,422
  6. Step 6: Final answer
    x = 689,889.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.