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Finding the Third Proportional to 273,370.13 and 591,668.25

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Solution

The third proportional to 273,370.13 and 591,668.25 is: 1,280,576.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,370.13 : 591,668.25 = 591,668.25 : x
  2. Step 2: Convert to fraction form
    273,370.13/591,668.25 = 591,668.25/x
  3. Step 3: Cross multiply
    273,370.13x = 591,668.25 × 591,668.25
  4. Step 4: Simplify right side
    273,370.13x = 350,071,318,058.06
  5. Step 5: Solve for x
    x = 350,071,318,058.06/273,370.13
  6. Step 6: Final answer
    x = 1,280,576.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.