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Finding the Third Proportional to 335,354 and 732,916

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Solution

The third proportional to 335,354 and 732,916 is: 1,601,787.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,354 : 732,916 = 732,916 : x
  2. Step 2: Convert to fraction form
    335,354/732,916 = 732,916/x
  3. Step 3: Cross multiply
    335,354x = 732,916 × 732,916
  4. Step 4: Simplify right side
    335,354x = 537,165,863,056
  5. Step 5: Solve for x
    x = 537,165,863,056/335,354
  6. Step 6: Final answer
    x = 1,601,787.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.