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Finding the Third Proportional to 260,590.50 and 548,518.50

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Solution

The third proportional to 260,590.50 and 548,518.50 is: 1,154,579.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,590.50 : 548,518.50 = 548,518.50 : x
  2. Step 2: Convert to fraction form
    260,590.50/548,518.50 = 548,518.50/x
  3. Step 3: Cross multiply
    260,590.50x = 548,518.50 × 548,518.50
  4. Step 4: Simplify right side
    260,590.50x = 300,872,544,842.25
  5. Step 5: Solve for x
    x = 300,872,544,842.25/260,590.50
  6. Step 6: Final answer
    x = 1,154,579.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.