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Finding the Third Proportional to 212,873 and 466,570

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Solution

The third proportional to 212,873 and 466,570 is: 1,022,617.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,873 : 466,570 = 466,570 : x
  2. Step 2: Convert to fraction form
    212,873/466,570 = 466,570/x
  3. Step 3: Cross multiply
    212,873x = 466,570 × 466,570
  4. Step 4: Simplify right side
    212,873x = 217,687,564,900
  5. Step 5: Solve for x
    x = 217,687,564,900/212,873
  6. Step 6: Final answer
    x = 1,022,617.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.