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Finding the Third Proportional to 235,374 and 511,545

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Solution

The third proportional to 235,374 and 511,545 is: 1,111,755.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,374 : 511,545 = 511,545 : x
  2. Step 2: Convert to fraction form
    235,374/511,545 = 511,545/x
  3. Step 3: Cross multiply
    235,374x = 511,545 × 511,545
  4. Step 4: Simplify right side
    235,374x = 261,678,287,025
  5. Step 5: Solve for x
    x = 261,678,287,025/235,374
  6. Step 6: Final answer
    x = 1,111,755.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.