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Finding the Third Proportional to 343,590.75 and 739,856.25

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Solution

The third proportional to 343,590.75 and 739,856.25 is: 1,593,137.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,590.75 : 739,856.25 = 739,856.25 : x
  2. Step 2: Convert to fraction form
    343,590.75/739,856.25 = 739,856.25/x
  3. Step 3: Cross multiply
    343,590.75x = 739,856.25 × 739,856.25
  4. Step 4: Simplify right side
    343,590.75x = 547,387,270,664.06
  5. Step 5: Solve for x
    x = 547,387,270,664.06/343,590.75
  6. Step 6: Final answer
    x = 1,593,137.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.