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Finding the Third Proportional to 504,659 and 749,698

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Solution

The third proportional to 504,659 and 749,698 is: 1,113,716.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,659 : 749,698 = 749,698 : x
  2. Step 2: Convert to fraction form
    504,659/749,698 = 749,698/x
  3. Step 3: Cross multiply
    504,659x = 749,698 × 749,698
  4. Step 4: Simplify right side
    504,659x = 562,047,091,204
  5. Step 5: Solve for x
    x = 562,047,091,204/504,659
  6. Step 6: Final answer
    x = 1,113,716.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.