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Finding the Third Proportional to 355,027 and 766,916

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Solution

The third proportional to 355,027 and 766,916 is: 1,656,663.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,027 : 766,916 = 766,916 : x
  2. Step 2: Convert to fraction form
    355,027/766,916 = 766,916/x
  3. Step 3: Cross multiply
    355,027x = 766,916 × 766,916
  4. Step 4: Simplify right side
    355,027x = 588,160,151,056
  5. Step 5: Solve for x
    x = 588,160,151,056/355,027
  6. Step 6: Final answer
    x = 1,656,663.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.