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Finding the Third Proportional to 335,732 and 725,082

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Solution

The third proportional to 335,732 and 725,082 is: 1,565,963.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,732 : 725,082 = 725,082 : x
  2. Step 2: Convert to fraction form
    335,732/725,082 = 725,082/x
  3. Step 3: Cross multiply
    335,732x = 725,082 × 725,082
  4. Step 4: Simplify right side
    335,732x = 525,743,906,724
  5. Step 5: Solve for x
    x = 525,743,906,724/335,732
  6. Step 6: Final answer
    x = 1,565,963.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.