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Finding the Third Proportional to 304,422.94 and 657,625.88

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Solution

The third proportional to 304,422.94 and 657,625.88 is: 1,420,628.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,422.94 : 657,625.88 = 657,625.88 : x
  2. Step 2: Convert to fraction form
    304,422.94/657,625.88 = 657,625.88/x
  3. Step 3: Cross multiply
    304,422.94x = 657,625.88 × 657,625.88
  4. Step 4: Simplify right side
    304,422.94x = 432,471,791,469.52
  5. Step 5: Solve for x
    x = 432,471,791,469.52/304,422.94
  6. Step 6: Final answer
    x = 1,420,628.14

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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.