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Finding the Third Proportional to 504,549 and 758,949

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Solution

The third proportional to 504,549 and 758,949 is: 1,141,620.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,549 : 758,949 = 758,949 : x
  2. Step 2: Convert to fraction form
    504,549/758,949 = 758,949/x
  3. Step 3: Cross multiply
    504,549x = 758,949 × 758,949
  4. Step 4: Simplify right side
    504,549x = 576,003,584,601
  5. Step 5: Solve for x
    x = 576,003,584,601/504,549
  6. Step 6: Final answer
    x = 1,141,620.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.