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Finding the Third Proportional to 215,517 and 468,372.50

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Solution

The third proportional to 215,517 and 468,372.50 is: 1,017,890.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,517 : 468,372.50 = 468,372.50 : x
  2. Step 2: Convert to fraction form
    215,517/468,372.50 = 468,372.50/x
  3. Step 3: Cross multiply
    215,517x = 468,372.50 × 468,372.50
  4. Step 4: Simplify right side
    215,517x = 219,372,798,756.25
  5. Step 5: Solve for x
    x = 219,372,798,756.25/215,517
  6. Step 6: Final answer
    x = 1,017,890.93

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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.