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Finding the Third Proportional to 236,862 and 500,337

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Solution

The third proportional to 236,862 and 500,337 is: 1,056,890.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,862 : 500,337 = 500,337 : x
  2. Step 2: Convert to fraction form
    236,862/500,337 = 500,337/x
  3. Step 3: Cross multiply
    236,862x = 500,337 × 500,337
  4. Step 4: Simplify right side
    236,862x = 250,337,113,569
  5. Step 5: Solve for x
    x = 250,337,113,569/236,862
  6. Step 6: Final answer
    x = 1,056,890.15

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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.