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Finding the Third Proportional to 211,960.50 and 460,734.75

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Solution

The third proportional to 211,960.50 and 460,734.75 is: 1,001,490.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,960.50 : 460,734.75 = 460,734.75 : x
  2. Step 2: Convert to fraction form
    211,960.50/460,734.75 = 460,734.75/x
  3. Step 3: Cross multiply
    211,960.50x = 460,734.75 × 460,734.75
  4. Step 4: Simplify right side
    211,960.50x = 212,276,509,857.56
  5. Step 5: Solve for x
    x = 212,276,509,857.56/211,960.50
  6. Step 6: Final answer
    x = 1,001,490.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.