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Finding the Third Proportional to 260,815.50 and 549,651.75

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Solution

The third proportional to 260,815.50 and 549,651.75 is: 1,158,355.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,815.50 : 549,651.75 = 549,651.75 : x
  2. Step 2: Convert to fraction form
    260,815.50/549,651.75 = 549,651.75/x
  3. Step 3: Cross multiply
    260,815.50x = 549,651.75 × 549,651.75
  4. Step 4: Simplify right side
    260,815.50x = 302,117,046,278.06
  5. Step 5: Solve for x
    x = 302,117,046,278.06/260,815.50
  6. Step 6: Final answer
    x = 1,158,355.41

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.