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Finding the Third Proportional to 503,764 and 767,672

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Solution

The third proportional to 503,764 and 767,672 is: 1,169,834.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,764 : 767,672 = 767,672 : x
  2. Step 2: Convert to fraction form
    503,764/767,672 = 767,672/x
  3. Step 3: Cross multiply
    503,764x = 767,672 × 767,672
  4. Step 4: Simplify right side
    503,764x = 589,320,299,584
  5. Step 5: Solve for x
    x = 589,320,299,584/503,764
  6. Step 6: Final answer
    x = 1,169,834.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.