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Finding the Third Proportional to 224,827.50 and 489,313.50

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Solution

The third proportional to 224,827.50 and 489,313.50 is: 1,064,939.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,827.50 : 489,313.50 = 489,313.50 : x
  2. Step 2: Convert to fraction form
    224,827.50/489,313.50 = 489,313.50/x
  3. Step 3: Cross multiply
    224,827.50x = 489,313.50 × 489,313.50
  4. Step 4: Simplify right side
    224,827.50x = 239,427,701,282.25
  5. Step 5: Solve for x
    x = 239,427,701,282.25/224,827.50
  6. Step 6: Final answer
    x = 1,064,939.57

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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.