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Finding the Third Proportional to 296,754 and 641,028

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Solution

The third proportional to 296,754 and 641,028 is: 1,384,705.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,754 : 641,028 = 641,028 : x
  2. Step 2: Convert to fraction form
    296,754/641,028 = 641,028/x
  3. Step 3: Cross multiply
    296,754x = 641,028 × 641,028
  4. Step 4: Simplify right side
    296,754x = 410,916,896,784
  5. Step 5: Solve for x
    x = 410,916,896,784/296,754
  6. Step 6: Final answer
    x = 1,384,705.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.