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Finding the Third Proportional to 363,082.50 and 559,930.50

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Solution

The third proportional to 363,082.50 and 559,930.50 is: 863,501.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,082.50 : 559,930.50 = 559,930.50 : x
  2. Step 2: Convert to fraction form
    363,082.50/559,930.50 = 559,930.50/x
  3. Step 3: Cross multiply
    363,082.50x = 559,930.50 × 559,930.50
  4. Step 4: Simplify right side
    363,082.50x = 313,522,164,830.25
  5. Step 5: Solve for x
    x = 313,522,164,830.25/363,082.50
  6. Step 6: Final answer
    x = 863,501.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.