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Finding the Third Proportional to 335,082 and 728,340

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Solution

The third proportional to 335,082 and 728,340 is: 1,583,132.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,082 : 728,340 = 728,340 : x
  2. Step 2: Convert to fraction form
    335,082/728,340 = 728,340/x
  3. Step 3: Cross multiply
    335,082x = 728,340 × 728,340
  4. Step 4: Simplify right side
    335,082x = 530,479,155,600
  5. Step 5: Solve for x
    x = 530,479,155,600/335,082
  6. Step 6: Final answer
    x = 1,583,132.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.