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Finding the Third Proportional to 338,290.88 and 736,133.63

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Solution

The third proportional to 338,290.88 and 736,133.63 is: 1,601,854.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,290.88 : 736,133.63 = 736,133.63 : x
  2. Step 2: Convert to fraction form
    338,290.88/736,133.63 = 736,133.63/x
  3. Step 3: Cross multiply
    338,290.88x = 736,133.63 × 736,133.63
  4. Step 4: Simplify right side
    338,290.88x = 541,892,713,855.64
  5. Step 5: Solve for x
    x = 541,892,713,855.64/338,290.88
  6. Step 6: Final answer
    x = 1,601,854.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.