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Finding the Third Proportional to 264,492 and 624,265

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Solution

The third proportional to 264,492 and 624,265 is: 1,473,416.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,492 : 624,265 = 624,265 : x
  2. Step 2: Convert to fraction form
    264,492/624,265 = 624,265/x
  3. Step 3: Cross multiply
    264,492x = 624,265 × 624,265
  4. Step 4: Simplify right side
    264,492x = 389,706,790,225
  5. Step 5: Solve for x
    x = 389,706,790,225/264,492
  6. Step 6: Final answer
    x = 1,473,416.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.