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Finding the Third Proportional to 354,906 and 769,716

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Solution

The third proportional to 354,906 and 769,716 is: 1,669,351.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,906 : 769,716 = 769,716 : x
  2. Step 2: Convert to fraction form
    354,906/769,716 = 769,716/x
  3. Step 3: Cross multiply
    354,906x = 769,716 × 769,716
  4. Step 4: Simplify right side
    354,906x = 592,462,720,656
  5. Step 5: Solve for x
    x = 592,462,720,656/354,906
  6. Step 6: Final answer
    x = 1,669,351.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.