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Finding the Third Proportional to 212,224.50 and 457,641

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Solution

The third proportional to 212,224.50 and 457,641 is: 986,857.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,224.50 : 457,641 = 457,641 : x
  2. Step 2: Convert to fraction form
    212,224.50/457,641 = 457,641/x
  3. Step 3: Cross multiply
    212,224.50x = 457,641 × 457,641
  4. Step 4: Simplify right side
    212,224.50x = 209,435,284,881
  5. Step 5: Solve for x
    x = 209,435,284,881/212,224.50
  6. Step 6: Final answer
    x = 986,857.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.