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Finding the Third Proportional to 215,512.88 and 468,364.50

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Solution

The third proportional to 215,512.88 and 468,364.50 is: 1,017,875.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,512.88 : 468,364.50 = 468,364.50 : x
  2. Step 2: Convert to fraction form
    215,512.88/468,364.50 = 468,364.50/x
  3. Step 3: Cross multiply
    215,512.88x = 468,364.50 × 468,364.50
  4. Step 4: Simplify right side
    215,512.88x = 219,365,304,860.25
  5. Step 5: Solve for x
    x = 219,365,304,860.25/215,512.88
  6. Step 6: Final answer
    x = 1,017,875.64

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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.