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Finding the Third Proportional to 277,524 and 654,786

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Solution

The third proportional to 277,524 and 654,786 is: 1,544,892.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,524 : 654,786 = 654,786 : x
  2. Step 2: Convert to fraction form
    277,524/654,786 = 654,786/x
  3. Step 3: Cross multiply
    277,524x = 654,786 × 654,786
  4. Step 4: Simplify right side
    277,524x = 428,744,705,796
  5. Step 5: Solve for x
    x = 428,744,705,796/277,524
  6. Step 6: Final answer
    x = 1,544,892.35

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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.