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Finding the Third Proportional to 207,459 and 422,527

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Solution

The third proportional to 207,459 and 422,527 is: 860,551.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,459 : 422,527 = 422,527 : x
  2. Step 2: Convert to fraction form
    207,459/422,527 = 422,527/x
  3. Step 3: Cross multiply
    207,459x = 422,527 × 422,527
  4. Step 4: Simplify right side
    207,459x = 178,529,065,729
  5. Step 5: Solve for x
    x = 178,529,065,729/207,459
  6. Step 6: Final answer
    x = 860,551.08

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.