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Finding the Third Proportional to 345,751 and 466,097

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Solution

The third proportional to 345,751 and 466,097 is: 628,331.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,751 : 466,097 = 466,097 : x
  2. Step 2: Convert to fraction form
    345,751/466,097 = 466,097/x
  3. Step 3: Cross multiply
    345,751x = 466,097 × 466,097
  4. Step 4: Simplify right side
    345,751x = 217,246,413,409
  5. Step 5: Solve for x
    x = 217,246,413,409/345,751
  6. Step 6: Final answer
    x = 628,331.99

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.