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Finding the Third Proportional to 224,703 and 489,082.50

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Solution

The third proportional to 224,703 and 489,082.50 is: 1,064,523.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,703 : 489,082.50 = 489,082.50 : x
  2. Step 2: Convert to fraction form
    224,703/489,082.50 = 489,082.50/x
  3. Step 3: Cross multiply
    224,703x = 489,082.50 × 489,082.50
  4. Step 4: Simplify right side
    224,703x = 239,201,691,806.25
  5. Step 5: Solve for x
    x = 239,201,691,806.25/224,703
  6. Step 6: Final answer
    x = 1,064,523.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.