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Finding the Third Proportional to 217,730.25 and 466,564.50

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Solution

The third proportional to 217,730.25 and 466,564.50 is: 999,780.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,730.25 : 466,564.50 = 466,564.50 : x
  2. Step 2: Convert to fraction form
    217,730.25/466,564.50 = 466,564.50/x
  3. Step 3: Cross multiply
    217,730.25x = 466,564.50 × 466,564.50
  4. Step 4: Simplify right side
    217,730.25x = 217,682,432,660.25
  5. Step 5: Solve for x
    x = 217,682,432,660.25/217,730.25
  6. Step 6: Final answer
    x = 999,780.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.