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Finding the Third Proportional to 490,126.50 and 749,607.75

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Solution

The third proportional to 490,126.50 and 749,607.75 is: 1,146,462.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,126.50 : 749,607.75 = 749,607.75 : x
  2. Step 2: Convert to fraction form
    490,126.50/749,607.75 = 749,607.75/x
  3. Step 3: Cross multiply
    490,126.50x = 749,607.75 × 749,607.75
  4. Step 4: Simplify right side
    490,126.50x = 561,911,778,860.06
  5. Step 5: Solve for x
    x = 561,911,778,860.06/490,126.50
  6. Step 6: Final answer
    x = 1,146,462.76

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.