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Finding the Third Proportional to 260,210.50 and 554,775

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Solution

The third proportional to 260,210.50 and 554,775 is: 1,182,793.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,210.50 : 554,775 = 554,775 : x
  2. Step 2: Convert to fraction form
    260,210.50/554,775 = 554,775/x
  3. Step 3: Cross multiply
    260,210.50x = 554,775 × 554,775
  4. Step 4: Simplify right side
    260,210.50x = 307,775,300,625
  5. Step 5: Solve for x
    x = 307,775,300,625/260,210.50
  6. Step 6: Final answer
    x = 1,182,793.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.