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Finding the Third Proportional to 194,484 and 402,448

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Solution

The third proportional to 194,484 and 402,448 is: 832,790.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,484 : 402,448 = 402,448 : x
  2. Step 2: Convert to fraction form
    194,484/402,448 = 402,448/x
  3. Step 3: Cross multiply
    194,484x = 402,448 × 402,448
  4. Step 4: Simplify right side
    194,484x = 161,964,392,704
  5. Step 5: Solve for x
    x = 161,964,392,704/194,484
  6. Step 6: Final answer
    x = 832,790.32

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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.