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Finding the Third Proportional to 236,572 and 504,114

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Solution

The third proportional to 236,572 and 504,114 is: 1,074,222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,572 : 504,114 = 504,114 : x
  2. Step 2: Convert to fraction form
    236,572/504,114 = 504,114/x
  3. Step 3: Cross multiply
    236,572x = 504,114 × 504,114
  4. Step 4: Simplify right side
    236,572x = 254,130,924,996
  5. Step 5: Solve for x
    x = 254,130,924,996/236,572
  6. Step 6: Final answer
    x = 1,074,222.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.