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Finding the Third Proportional to 304,596.75 and 660,041.25

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Solution

The third proportional to 304,596.75 and 660,041.25 is: 1,430,266.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,596.75 : 660,041.25 = 660,041.25 : x
  2. Step 2: Convert to fraction form
    304,596.75/660,041.25 = 660,041.25/x
  3. Step 3: Cross multiply
    304,596.75x = 660,041.25 × 660,041.25
  4. Step 4: Simplify right side
    304,596.75x = 435,654,451,701.56
  5. Step 5: Solve for x
    x = 435,654,451,701.56/304,596.75
  6. Step 6: Final answer
    x = 1,430,266.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.