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Finding the Third Proportional to 468,207 and 701,028

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Solution

The third proportional to 468,207 and 701,028 is: 1,049,621.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,207 : 701,028 = 701,028 : x
  2. Step 2: Convert to fraction form
    468,207/701,028 = 701,028/x
  3. Step 3: Cross multiply
    468,207x = 701,028 × 701,028
  4. Step 4: Simplify right side
    468,207x = 491,440,256,784
  5. Step 5: Solve for x
    x = 491,440,256,784/468,207
  6. Step 6: Final answer
    x = 1,049,621.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.