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Finding the Third Proportional to 289,538.30 and 442,918.76

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Solution

The third proportional to 289,538.30 and 442,918.76 is: 677,551.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,538.30 : 442,918.76 = 442,918.76 : x
  2. Step 2: Convert to fraction form
    289,538.30/442,918.76 = 442,918.76/x
  3. Step 3: Cross multiply
    289,538.30x = 442,918.76 × 442,918.76
  4. Step 4: Simplify right side
    289,538.30x = 196,177,026,022.17
  5. Step 5: Solve for x
    x = 196,177,026,022.17/289,538.30
  6. Step 6: Final answer
    x = 677,551.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.