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Finding the Third Proportional to 331,225.50 and 714,939

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Solution

The third proportional to 331,225.50 and 714,939 is: 1,543,171.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,225.50 : 714,939 = 714,939 : x
  2. Step 2: Convert to fraction form
    331,225.50/714,939 = 714,939/x
  3. Step 3: Cross multiply
    331,225.50x = 714,939 × 714,939
  4. Step 4: Simplify right side
    331,225.50x = 511,137,773,721
  5. Step 5: Solve for x
    x = 511,137,773,721/331,225.50
  6. Step 6: Final answer
    x = 1,543,171.57

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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.