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Finding the Third Proportional to 331,247.50 and 714,983

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Solution

The third proportional to 331,247.50 and 714,983 is: 1,543,259.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,247.50 : 714,983 = 714,983 : x
  2. Step 2: Convert to fraction form
    331,247.50/714,983 = 714,983/x
  3. Step 3: Cross multiply
    331,247.50x = 714,983 × 714,983
  4. Step 4: Simplify right side
    331,247.50x = 511,200,690,289
  5. Step 5: Solve for x
    x = 511,200,690,289/331,247.50
  6. Step 6: Final answer
    x = 1,543,259.01

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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.