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Finding the Third Proportional to 504,714 and 775,780

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Solution

The third proportional to 504,714 and 775,780 is: 1,192,427.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,714 : 775,780 = 775,780 : x
  2. Step 2: Convert to fraction form
    504,714/775,780 = 775,780/x
  3. Step 3: Cross multiply
    504,714x = 775,780 × 775,780
  4. Step 4: Simplify right side
    504,714x = 601,834,608,400
  5. Step 5: Solve for x
    x = 601,834,608,400/504,714
  6. Step 6: Final answer
    x = 1,192,427.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.