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Finding the Third Proportional to 219,784.50 and 466,546.50

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Solution

The third proportional to 219,784.50 and 466,546.50 is: 990,359.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,784.50 : 466,546.50 = 466,546.50 : x
  2. Step 2: Convert to fraction form
    219,784.50/466,546.50 = 466,546.50/x
  3. Step 3: Cross multiply
    219,784.50x = 466,546.50 × 466,546.50
  4. Step 4: Simplify right side
    219,784.50x = 217,665,636,662.25
  5. Step 5: Solve for x
    x = 217,665,636,662.25/219,784.50
  6. Step 6: Final answer
    x = 990,359.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.