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Finding the Third Proportional to 224,690 and 489,056

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Solution

The third proportional to 224,690 and 489,056 is: 1,064,470.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,690 : 489,056 = 489,056 : x
  2. Step 2: Convert to fraction form
    224,690/489,056 = 489,056/x
  3. Step 3: Cross multiply
    224,690x = 489,056 × 489,056
  4. Step 4: Simplify right side
    224,690x = 239,175,771,136
  5. Step 5: Solve for x
    x = 239,175,771,136/224,690
  6. Step 6: Final answer
    x = 1,064,470.03

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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.