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Finding the Third Proportional to 236,502 and 507,996

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Solution

The third proportional to 236,502 and 507,996 is: 1,091,153.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,502 : 507,996 = 507,996 : x
  2. Step 2: Convert to fraction form
    236,502/507,996 = 507,996/x
  3. Step 3: Cross multiply
    236,502x = 507,996 × 507,996
  4. Step 4: Simplify right side
    236,502x = 258,059,936,016
  5. Step 5: Solve for x
    x = 258,059,936,016/236,502
  6. Step 6: Final answer
    x = 1,091,153.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.