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Finding the Third Proportional to 335,028 and 729,117

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Solution

The third proportional to 335,028 and 729,117 is: 1,586,767.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,028 : 729,117 = 729,117 : x
  2. Step 2: Convert to fraction form
    335,028/729,117 = 729,117/x
  3. Step 3: Cross multiply
    335,028x = 729,117 × 729,117
  4. Step 4: Simplify right side
    335,028x = 531,611,599,689
  5. Step 5: Solve for x
    x = 531,611,599,689/335,028
  6. Step 6: Final answer
    x = 1,586,767.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.