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Finding the Third Proportional to 354,530 and 758,895

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Solution

The third proportional to 354,530 and 758,895 is: 1,624,465.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,530 : 758,895 = 758,895 : x
  2. Step 2: Convert to fraction form
    354,530/758,895 = 758,895/x
  3. Step 3: Cross multiply
    354,530x = 758,895 × 758,895
  4. Step 4: Simplify right side
    354,530x = 575,921,621,025
  5. Step 5: Solve for x
    x = 575,921,621,025/354,530
  6. Step 6: Final answer
    x = 1,624,465.13

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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.