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Finding the Third Proportional to 339,213 and 460,687.50

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Solution

The third proportional to 339,213 and 460,687.50 is: 625,662.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,213 : 460,687.50 = 460,687.50 : x
  2. Step 2: Convert to fraction form
    339,213/460,687.50 = 460,687.50/x
  3. Step 3: Cross multiply
    339,213x = 460,687.50 × 460,687.50
  4. Step 4: Simplify right side
    339,213x = 212,232,972,656.25
  5. Step 5: Solve for x
    x = 212,232,972,656.25/339,213
  6. Step 6: Final answer
    x = 625,662.85

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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.