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Finding the Third Proportional to 338,713.50 and 730,301.25

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Solution

The third proportional to 338,713.50 and 730,301.25 is: 1,574,604.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,713.50 : 730,301.25 = 730,301.25 : x
  2. Step 2: Convert to fraction form
    338,713.50/730,301.25 = 730,301.25/x
  3. Step 3: Cross multiply
    338,713.50x = 730,301.25 × 730,301.25
  4. Step 4: Simplify right side
    338,713.50x = 533,339,915,751.56
  5. Step 5: Solve for x
    x = 533,339,915,751.56/338,713.50
  6. Step 6: Final answer
    x = 1,574,604.84

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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.