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Finding the Third Proportional to 335,938 and 730,920

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Solution

The third proportional to 335,938 and 730,920 is: 1,590,305.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,938 : 730,920 = 730,920 : x
  2. Step 2: Convert to fraction form
    335,938/730,920 = 730,920/x
  3. Step 3: Cross multiply
    335,938x = 730,920 × 730,920
  4. Step 4: Simplify right side
    335,938x = 534,244,046,400
  5. Step 5: Solve for x
    x = 534,244,046,400/335,938
  6. Step 6: Final answer
    x = 1,590,305.49

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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.