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Finding the Third Proportional to 212,580 and 466,627.50

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Solution

The third proportional to 212,580 and 466,627.50 is: 1,024,278.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,580 : 466,627.50 = 466,627.50 : x
  2. Step 2: Convert to fraction form
    212,580/466,627.50 = 466,627.50/x
  3. Step 3: Cross multiply
    212,580x = 466,627.50 × 466,627.50
  4. Step 4: Simplify right side
    212,580x = 217,741,223,756.25
  5. Step 5: Solve for x
    x = 217,741,223,756.25/212,580
  6. Step 6: Final answer
    x = 1,024,278.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.