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Finding the Third Proportional to 304,273.13 and 650,759.06

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Solution

The third proportional to 304,273.13 and 650,759.06 is: 1,391,800.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,273.13 : 650,759.06 = 650,759.06 : x
  2. Step 2: Convert to fraction form
    304,273.13/650,759.06 = 650,759.06/x
  3. Step 3: Cross multiply
    304,273.13x = 650,759.06 × 650,759.06
  4. Step 4: Simplify right side
    304,273.13x = 423,487,357,425.88
  5. Step 5: Solve for x
    x = 423,487,357,425.88/304,273.13
  6. Step 6: Final answer
    x = 1,391,800.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.