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Finding the Third Proportional to 541,278 and 756,740

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Solution

The third proportional to 541,278 and 756,740 is: 1,057,969.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,278 : 756,740 = 756,740 : x
  2. Step 2: Convert to fraction form
    541,278/756,740 = 756,740/x
  3. Step 3: Cross multiply
    541,278x = 756,740 × 756,740
  4. Step 4: Simplify right side
    541,278x = 572,655,427,600
  5. Step 5: Solve for x
    x = 572,655,427,600/541,278
  6. Step 6: Final answer
    x = 1,057,969.15

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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.