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Finding the Third Proportional to 212,526 and 462,438

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Solution

The third proportional to 212,526 and 462,438 is: 1,006,224.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,526 : 462,438 = 462,438 : x
  2. Step 2: Convert to fraction form
    212,526/462,438 = 462,438/x
  3. Step 3: Cross multiply
    212,526x = 462,438 × 462,438
  4. Step 4: Simplify right side
    212,526x = 213,848,903,844
  5. Step 5: Solve for x
    x = 213,848,903,844/212,526
  6. Step 6: Final answer
    x = 1,006,224.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.