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Finding the Third Proportional to 335,376 and 492,372

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Solution

The third proportional to 335,376 and 492,372 is: 722,860.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,376 : 492,372 = 492,372 : x
  2. Step 2: Convert to fraction form
    335,376/492,372 = 492,372/x
  3. Step 3: Cross multiply
    335,376x = 492,372 × 492,372
  4. Step 4: Simplify right side
    335,376x = 242,430,186,384
  5. Step 5: Solve for x
    x = 242,430,186,384/335,376
  6. Step 6: Final answer
    x = 722,860.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.