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Finding the Third Proportional to 322,653 and 501,237

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Solution

The third proportional to 322,653 and 501,237 is: 778,664.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,653 : 501,237 = 501,237 : x
  2. Step 2: Convert to fraction form
    322,653/501,237 = 501,237/x
  3. Step 3: Cross multiply
    322,653x = 501,237 × 501,237
  4. Step 4: Simplify right side
    322,653x = 251,238,530,169
  5. Step 5: Solve for x
    x = 251,238,530,169/322,653
  6. Step 6: Final answer
    x = 778,664.79

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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.