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Finding the Third Proportional to 350,345.25 and 766,118.25

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Solution

The third proportional to 350,345.25 and 766,118.25 is: 1,675,310.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,345.25 : 766,118.25 = 766,118.25 : x
  2. Step 2: Convert to fraction form
    350,345.25/766,118.25 = 766,118.25/x
  3. Step 3: Cross multiply
    350,345.25x = 766,118.25 × 766,118.25
  4. Step 4: Simplify right side
    350,345.25x = 586,937,172,983.06
  5. Step 5: Solve for x
    x = 586,937,172,983.06/350,345.25
  6. Step 6: Final answer
    x = 1,675,310.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.