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Finding the Third Proportional to 236,871 and 500,355

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Solution

The third proportional to 236,871 and 500,355 is: 1,056,926.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,871 : 500,355 = 500,355 : x
  2. Step 2: Convert to fraction form
    236,871/500,355 = 500,355/x
  3. Step 3: Cross multiply
    236,871x = 500,355 × 500,355
  4. Step 4: Simplify right side
    236,871x = 250,355,126,025
  5. Step 5: Solve for x
    x = 250,355,126,025/236,871
  6. Step 6: Final answer
    x = 1,056,926.03

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.