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Finding the Third Proportional to 336,477.38 and 517,188.38

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Solution

The third proportional to 336,477.38 and 517,188.38 is: 794,953.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,477.38 : 517,188.38 = 517,188.38 : x
  2. Step 2: Convert to fraction form
    336,477.38/517,188.38 = 517,188.38/x
  3. Step 3: Cross multiply
    336,477.38x = 517,188.38 × 517,188.38
  4. Step 4: Simplify right side
    336,477.38x = 267,483,815,235.14
  5. Step 5: Solve for x
    x = 267,483,815,235.14/336,477.38
  6. Step 6: Final answer
    x = 794,953.35

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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.