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Finding the Third Proportional to 295,191.75 and 611,387.25

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Solution

The third proportional to 295,191.75 and 611,387.25 is: 1,266,276.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,191.75 : 611,387.25 = 611,387.25 : x
  2. Step 2: Convert to fraction form
    295,191.75/611,387.25 = 611,387.25/x
  3. Step 3: Cross multiply
    295,191.75x = 611,387.25 × 611,387.25
  4. Step 4: Simplify right side
    295,191.75x = 373,794,369,462.56
  5. Step 5: Solve for x
    x = 373,794,369,462.56/295,191.75
  6. Step 6: Final answer
    x = 1,266,276.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.