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Finding the Third Proportional to 551,492 and 759,436

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Solution

The third proportional to 551,492 and 759,436 is: 1,045,786.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,492 : 759,436 = 759,436 : x
  2. Step 2: Convert to fraction form
    551,492/759,436 = 759,436/x
  3. Step 3: Cross multiply
    551,492x = 759,436 × 759,436
  4. Step 4: Simplify right side
    551,492x = 576,743,038,096
  5. Step 5: Solve for x
    x = 576,743,038,096/551,492
  6. Step 6: Final answer
    x = 1,045,786.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.