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Finding the Third Proportional to 341,131.50 and 511,707

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Solution

The third proportional to 341,131.50 and 511,707 is: 767,575.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,131.50 : 511,707 = 511,707 : x
  2. Step 2: Convert to fraction form
    341,131.50/511,707 = 511,707/x
  3. Step 3: Cross multiply
    341,131.50x = 511,707 × 511,707
  4. Step 4: Simplify right side
    341,131.50x = 261,844,053,849
  5. Step 5: Solve for x
    x = 261,844,053,849/341,131.50
  6. Step 6: Final answer
    x = 767,575.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.