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Finding the Third Proportional to 339,076.13 and 730,640.25

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Solution

The third proportional to 339,076.13 and 730,640.25 is: 1,574,381.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,076.13 : 730,640.25 = 730,640.25 : x
  2. Step 2: Convert to fraction form
    339,076.13/730,640.25 = 730,640.25/x
  3. Step 3: Cross multiply
    339,076.13x = 730,640.25 × 730,640.25
  4. Step 4: Simplify right side
    339,076.13x = 533,835,174,920.06
  5. Step 5: Solve for x
    x = 533,835,174,920.06/339,076.13
  6. Step 6: Final answer
    x = 1,574,381.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.