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Finding the Third Proportional to 350,659 and 754,945

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Solution

The third proportional to 350,659 and 754,945 is: 1,625,345.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,659 : 754,945 = 754,945 : x
  2. Step 2: Convert to fraction form
    350,659/754,945 = 754,945/x
  3. Step 3: Cross multiply
    350,659x = 754,945 × 754,945
  4. Step 4: Simplify right side
    350,659x = 569,941,953,025
  5. Step 5: Solve for x
    x = 569,941,953,025/350,659
  6. Step 6: Final answer
    x = 1,625,345.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.