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Finding the Third Proportional to 194,474 and 402,428

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Solution

The third proportional to 194,474 and 402,428 is: 832,750.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,474 : 402,428 = 402,428 : x
  2. Step 2: Convert to fraction form
    194,474/402,428 = 402,428/x
  3. Step 3: Cross multiply
    194,474x = 402,428 × 402,428
  4. Step 4: Simplify right side
    194,474x = 161,948,295,184
  5. Step 5: Solve for x
    x = 161,948,295,184/194,474
  6. Step 6: Final answer
    x = 832,750.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.