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Finding the Third Proportional to 214,627.50 and 466,621.88

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Solution

The third proportional to 214,627.50 and 466,621.88 is: 1,014,483.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,627.50 : 466,621.88 = 466,621.88 : x
  2. Step 2: Convert to fraction form
    214,627.50/466,621.88 = 466,621.88/x
  3. Step 3: Cross multiply
    214,627.50x = 466,621.88 × 466,621.88
  4. Step 4: Simplify right side
    214,627.50x = 217,735,974,228.52
  5. Step 5: Solve for x
    x = 217,735,974,228.52/214,627.50
  6. Step 6: Final answer
    x = 1,014,483.11

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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.