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Finding the Third Proportional to 219,000 and 466,228.50

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Solution

The third proportional to 219,000 and 466,228.50 is: 992,552.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,000 : 466,228.50 = 466,228.50 : x
  2. Step 2: Convert to fraction form
    219,000/466,228.50 = 466,228.50/x
  3. Step 3: Cross multiply
    219,000x = 466,228.50 × 466,228.50
  4. Step 4: Simplify right side
    219,000x = 217,369,014,212.25
  5. Step 5: Solve for x
    x = 217,369,014,212.25/219,000
  6. Step 6: Final answer
    x = 992,552.58

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.