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Finding the Third Proportional to 488,247.75 and 776,931.75

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Solution

The third proportional to 488,247.75 and 776,931.75 is: 1,236,304.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,247.75 : 776,931.75 = 776,931.75 : x
  2. Step 2: Convert to fraction form
    488,247.75/776,931.75 = 776,931.75/x
  3. Step 3: Cross multiply
    488,247.75x = 776,931.75 × 776,931.75
  4. Step 4: Simplify right side
    488,247.75x = 603,622,944,158.06
  5. Step 5: Solve for x
    x = 603,622,944,158.06/488,247.75
  6. Step 6: Final answer
    x = 1,236,304.61

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.