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Finding the Third Proportional to 224,827 and 489,312

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Solution

The third proportional to 224,827 and 489,312 is: 1,064,935.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,827 : 489,312 = 489,312 : x
  2. Step 2: Convert to fraction form
    224,827/489,312 = 489,312/x
  3. Step 3: Cross multiply
    224,827x = 489,312 × 489,312
  4. Step 4: Simplify right side
    224,827x = 239,426,233,344
  5. Step 5: Solve for x
    x = 239,426,233,344/224,827
  6. Step 6: Final answer
    x = 1,064,935.41

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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.