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Finding the Third Proportional to 428,280 and 915,824

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Solution

The third proportional to 428,280 and 915,824 is: 1,958,376.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,280 : 915,824 = 915,824 : x
  2. Step 2: Convert to fraction form
    428,280/915,824 = 915,824/x
  3. Step 3: Cross multiply
    428,280x = 915,824 × 915,824
  4. Step 4: Simplify right side
    428,280x = 838,733,598,976
  5. Step 5: Solve for x
    x = 838,733,598,976/428,280
  6. Step 6: Final answer
    x = 1,958,376.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.