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Finding the Third Proportional to 348,691.50 and 511,093.13

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Solution

The third proportional to 348,691.50 and 511,093.13 is: 749,132.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,691.50 : 511,093.13 = 511,093.13 : x
  2. Step 2: Convert to fraction form
    348,691.50/511,093.13 = 511,093.13/x
  3. Step 3: Cross multiply
    348,691.50x = 511,093.13 × 511,093.13
  4. Step 4: Simplify right side
    348,691.50x = 261,216,182,422.27
  5. Step 5: Solve for x
    x = 261,216,182,422.27/348,691.50
  6. Step 6: Final answer
    x = 749,132.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.