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Finding the Third Proportional to 304,250 and 660,014

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Solution

The third proportional to 304,250 and 660,014 is: 1,431,778.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,250 : 660,014 = 660,014 : x
  2. Step 2: Convert to fraction form
    304,250/660,014 = 660,014/x
  3. Step 3: Cross multiply
    304,250x = 660,014 × 660,014
  4. Step 4: Simplify right side
    304,250x = 435,618,480,196
  5. Step 5: Solve for x
    x = 435,618,480,196/304,250
  6. Step 6: Final answer
    x = 1,431,778.08

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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.