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Finding the Third Proportional to 260,880 and 549,783

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Solution

The third proportional to 260,880 and 549,783 is: 1,158,622.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,880 : 549,783 = 549,783 : x
  2. Step 2: Convert to fraction form
    260,880/549,783 = 549,783/x
  3. Step 3: Cross multiply
    260,880x = 549,783 × 549,783
  4. Step 4: Simplify right side
    260,880x = 302,261,347,089
  5. Step 5: Solve for x
    x = 302,261,347,089/260,880
  6. Step 6: Final answer
    x = 1,158,622.15

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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.