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Finding the Third Proportional to 337,008.09 and 520,445.25

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Solution

The third proportional to 337,008.09 and 520,445.25 is: 803,729.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,008.09 : 520,445.25 = 520,445.25 : x
  2. Step 2: Convert to fraction form
    337,008.09/520,445.25 = 520,445.25/x
  3. Step 3: Cross multiply
    337,008.09x = 520,445.25 × 520,445.25
  4. Step 4: Simplify right side
    337,008.09x = 270,863,258,247.56
  5. Step 5: Solve for x
    x = 270,863,258,247.56/337,008.09
  6. Step 6: Final answer
    x = 803,729.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.