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Finding the Third Proportional to 339,102 and 460,541.25

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Solution

The third proportional to 339,102 and 460,541.25 is: 625,470.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,102 : 460,541.25 = 460,541.25 : x
  2. Step 2: Convert to fraction form
    339,102/460,541.25 = 460,541.25/x
  3. Step 3: Cross multiply
    339,102x = 460,541.25 × 460,541.25
  4. Step 4: Simplify right side
    339,102x = 212,098,242,951.56
  5. Step 5: Solve for x
    x = 212,098,242,951.56/339,102
  6. Step 6: Final answer
    x = 625,470.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.