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Finding the Third Proportional to 510,936 and 773,472

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Solution

The third proportional to 510,936 and 773,472 is: 1,170,907.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,936 : 773,472 = 773,472 : x
  2. Step 2: Convert to fraction form
    510,936/773,472 = 773,472/x
  3. Step 3: Cross multiply
    510,936x = 773,472 × 773,472
  4. Step 4: Simplify right side
    510,936x = 598,258,934,784
  5. Step 5: Solve for x
    x = 598,258,934,784/510,936
  6. Step 6: Final answer
    x = 1,170,907.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.