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Finding the Third Proportional to 541,269 and 756,728

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Solution

The third proportional to 541,269 and 756,728 is: 1,057,953.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,269 : 756,728 = 756,728 : x
  2. Step 2: Convert to fraction form
    541,269/756,728 = 756,728/x
  3. Step 3: Cross multiply
    541,269x = 756,728 × 756,728
  4. Step 4: Simplify right side
    541,269x = 572,637,265,984
  5. Step 5: Solve for x
    x = 572,637,265,984/541,269
  6. Step 6: Final answer
    x = 1,057,953.19

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.