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Finding the Third Proportional to 237,473 and 484,634

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Solution

The third proportional to 237,473 and 484,634 is: 989,039.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,473 : 484,634 = 484,634 : x
  2. Step 2: Convert to fraction form
    237,473/484,634 = 484,634/x
  3. Step 3: Cross multiply
    237,473x = 484,634 × 484,634
  4. Step 4: Simplify right side
    237,473x = 234,870,113,956
  5. Step 5: Solve for x
    x = 234,870,113,956/237,473
  6. Step 6: Final answer
    x = 989,039.23

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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.