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Finding the Third Proportional to 269,535 and 417,927

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Solution

The third proportional to 269,535 and 417,927 is: 648,015.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,535 : 417,927 = 417,927 : x
  2. Step 2: Convert to fraction form
    269,535/417,927 = 417,927/x
  3. Step 3: Cross multiply
    269,535x = 417,927 × 417,927
  4. Step 4: Simplify right side
    269,535x = 174,662,977,329
  5. Step 5: Solve for x
    x = 174,662,977,329/269,535
  6. Step 6: Final answer
    x = 648,015.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.