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Finding the Third Proportional to 265,845.38 and 397,029.94

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Solution

The third proportional to 265,845.38 and 397,029.94 is: 592,949.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,845.38 : 397,029.94 = 397,029.94 : x
  2. Step 2: Convert to fraction form
    265,845.38/397,029.94 = 397,029.94/x
  3. Step 3: Cross multiply
    265,845.38x = 397,029.94 × 397,029.94
  4. Step 4: Simplify right side
    265,845.38x = 157,632,771,271.25
  5. Step 5: Solve for x
    x = 157,632,771,271.25/265,845.38
  6. Step 6: Final answer
    x = 592,949.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.