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Finding the Third Proportional to 335,820 and 732,696

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Solution

The third proportional to 335,820 and 732,696 is: 1,598,604.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,820 : 732,696 = 732,696 : x
  2. Step 2: Convert to fraction form
    335,820/732,696 = 732,696/x
  3. Step 3: Cross multiply
    335,820x = 732,696 × 732,696
  4. Step 4: Simplify right side
    335,820x = 536,843,428,416
  5. Step 5: Solve for x
    x = 536,843,428,416/335,820
  6. Step 6: Final answer
    x = 1,598,604.69

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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.