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Finding the Third Proportional to 237,924 and 515,052

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Solution

The third proportional to 237,924 and 515,052 is: 1,114,971.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,924 : 515,052 = 515,052 : x
  2. Step 2: Convert to fraction form
    237,924/515,052 = 515,052/x
  3. Step 3: Cross multiply
    237,924x = 515,052 × 515,052
  4. Step 4: Simplify right side
    237,924x = 265,278,562,704
  5. Step 5: Solve for x
    x = 265,278,562,704/237,924
  6. Step 6: Final answer
    x = 1,114,971.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.