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Finding the Third Proportional to 308,641 and 673,101

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Solution

The third proportional to 308,641 and 673,101 is: 1,467,935.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,641 : 673,101 = 673,101 : x
  2. Step 2: Convert to fraction form
    308,641/673,101 = 673,101/x
  3. Step 3: Cross multiply
    308,641x = 673,101 × 673,101
  4. Step 4: Simplify right side
    308,641x = 453,064,956,201
  5. Step 5: Solve for x
    x = 453,064,956,201/308,641
  6. Step 6: Final answer
    x = 1,467,935.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.