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Finding the Third Proportional to 504,578 and 758,987

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Solution

The third proportional to 504,578 and 758,987 is: 1,141,669.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,578 : 758,987 = 758,987 : x
  2. Step 2: Convert to fraction form
    504,578/758,987 = 758,987/x
  3. Step 3: Cross multiply
    504,578x = 758,987 × 758,987
  4. Step 4: Simplify right side
    504,578x = 576,061,266,169
  5. Step 5: Solve for x
    x = 576,061,266,169/504,578
  6. Step 6: Final answer
    x = 1,141,669.41

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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.