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Finding the Third Proportional to 240,334 and 511,731

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Solution

The third proportional to 240,334 and 511,731 is: 1,089,602.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,334 : 511,731 = 511,731 : x
  2. Step 2: Convert to fraction form
    240,334/511,731 = 511,731/x
  3. Step 3: Cross multiply
    240,334x = 511,731 × 511,731
  4. Step 4: Simplify right side
    240,334x = 261,868,616,361
  5. Step 5: Solve for x
    x = 261,868,616,361/240,334
  6. Step 6: Final answer
    x = 1,089,602.87

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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.