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Finding the Third Proportional to 393,324.75 and 595,307.25

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Solution

The third proportional to 393,324.75 and 595,307.25 is: 901,013.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,324.75 : 595,307.25 = 595,307.25 : x
  2. Step 2: Convert to fraction form
    393,324.75/595,307.25 = 595,307.25/x
  3. Step 3: Cross multiply
    393,324.75x = 595,307.25 × 595,307.25
  4. Step 4: Simplify right side
    393,324.75x = 354,390,721,902.56
  5. Step 5: Solve for x
    x = 354,390,721,902.56/393,324.75
  6. Step 6: Final answer
    x = 901,013.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.