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Finding the Third Proportional to 338,290.17 and 729,467.02

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Solution

The third proportional to 338,290.17 and 729,467.02 is: 1,572,975.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,290.17 : 729,467.02 = 729,467.02 : x
  2. Step 2: Convert to fraction form
    338,290.17/729,467.02 = 729,467.02/x
  3. Step 3: Cross multiply
    338,290.17x = 729,467.02 × 729,467.02
  4. Step 4: Simplify right side
    338,290.17x = 532,122,126,884.84
  5. Step 5: Solve for x
    x = 532,122,126,884.84/338,290.17
  6. Step 6: Final answer
    x = 1,572,975.43

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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.