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Finding the Third Proportional to 224,953.50 and 489,273

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Solution

The third proportional to 224,953.50 and 489,273 is: 1,064,166.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,953.50 : 489,273 = 489,273 : x
  2. Step 2: Convert to fraction form
    224,953.50/489,273 = 489,273/x
  3. Step 3: Cross multiply
    224,953.50x = 489,273 × 489,273
  4. Step 4: Simplify right side
    224,953.50x = 239,388,068,529
  5. Step 5: Solve for x
    x = 239,388,068,529/224,953.50
  6. Step 6: Final answer
    x = 1,064,166.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.