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Finding the Third Proportional to 335,628 and 518,487

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Solution

The third proportional to 335,628 and 518,487 is: 800,972.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,628 : 518,487 = 518,487 : x
  2. Step 2: Convert to fraction form
    335,628/518,487 = 518,487/x
  3. Step 3: Cross multiply
    335,628x = 518,487 × 518,487
  4. Step 4: Simplify right side
    335,628x = 268,828,769,169
  5. Step 5: Solve for x
    x = 268,828,769,169/335,628
  6. Step 6: Final answer
    x = 800,972.41

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Why These Related Problems?

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