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Finding the Third Proportional to 245,354.06 and 519,913.69

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Solution

The third proportional to 245,354.06 and 519,913.69 is: 1,101,714.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,354.06 : 519,913.69 = 519,913.69 : x
  2. Step 2: Convert to fraction form
    245,354.06/519,913.69 = 519,913.69/x
  3. Step 3: Cross multiply
    245,354.06x = 519,913.69 × 519,913.69
  4. Step 4: Simplify right side
    245,354.06x = 270,310,242,449.85
  5. Step 5: Solve for x
    x = 270,310,242,449.85/245,354.06
  6. Step 6: Final answer
    x = 1,101,714.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.