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Finding the Third Proportional to 276,294 and 412,732.50

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Solution

The third proportional to 276,294 and 412,732.50 is: 616,546.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,294 : 412,732.50 = 412,732.50 : x
  2. Step 2: Convert to fraction form
    276,294/412,732.50 = 412,732.50/x
  3. Step 3: Cross multiply
    276,294x = 412,732.50 × 412,732.50
  4. Step 4: Simplify right side
    276,294x = 170,348,116,556.25
  5. Step 5: Solve for x
    x = 170,348,116,556.25/276,294
  6. Step 6: Final answer
    x = 616,546.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.