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Finding the Third Proportional to 466,085.81 and 719,733.94

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Solution

The third proportional to 466,085.81 and 719,733.94 is: 1,111,419.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,085.81 : 719,733.94 = 719,733.94 : x
  2. Step 2: Convert to fraction form
    466,085.81/719,733.94 = 719,733.94/x
  3. Step 3: Cross multiply
    466,085.81x = 719,733.94 × 719,733.94
  4. Step 4: Simplify right side
    466,085.81x = 518,016,940,789.25
  5. Step 5: Solve for x
    x = 518,016,940,789.25/466,085.81
  6. Step 6: Final answer
    x = 1,111,419.67

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.