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Finding the Third Proportional to 260,907.75 and 549,807.75

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Solution

The third proportional to 260,907.75 and 549,807.75 is: 1,158,603.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,907.75 : 549,807.75 = 549,807.75 : x
  2. Step 2: Convert to fraction form
    260,907.75/549,807.75 = 549,807.75/x
  3. Step 3: Cross multiply
    260,907.75x = 549,807.75 × 549,807.75
  4. Step 4: Simplify right side
    260,907.75x = 302,288,561,960.06
  5. Step 5: Solve for x
    x = 302,288,561,960.06/260,907.75
  6. Step 6: Final answer
    x = 1,158,603.23

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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.