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Finding the Third Proportional to 212,222.53 and 454,812.47

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Solution

The third proportional to 212,222.53 and 454,812.47 is: 974,705.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,222.53 : 454,812.47 = 454,812.47 : x
  2. Step 2: Convert to fraction form
    212,222.53/454,812.47 = 454,812.47/x
  3. Step 3: Cross multiply
    212,222.53x = 454,812.47 × 454,812.47
  4. Step 4: Simplify right side
    212,222.53x = 206,854,381,730.47
  5. Step 5: Solve for x
    x = 206,854,381,730.47/212,222.53
  6. Step 6: Final answer
    x = 974,705.09

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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.