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Finding the Third Proportional to 260,840.25 and 549,696.38

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Solution

The third proportional to 260,840.25 and 549,696.38 is: 1,158,433.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,840.25 : 549,696.38 = 549,696.38 : x
  2. Step 2: Convert to fraction form
    260,840.25/549,696.38 = 549,696.38/x
  3. Step 3: Cross multiply
    260,840.25x = 549,696.38 × 549,696.38
  4. Step 4: Simplify right side
    260,840.25x = 302,166,104,688.14
  5. Step 5: Solve for x
    x = 302,166,104,688.14/260,840.25
  6. Step 6: Final answer
    x = 1,158,433.58

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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.