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Finding the Third Proportional to 304,593.75 and 657,480.38

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Solution

The third proportional to 304,593.75 and 657,480.38 is: 1,419,203.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,593.75 : 657,480.38 = 657,480.38 : x
  2. Step 2: Convert to fraction form
    304,593.75/657,480.38 = 657,480.38/x
  3. Step 3: Cross multiply
    304,593.75x = 657,480.38 × 657,480.38
  4. Step 4: Simplify right side
    304,593.75x = 432,280,443,510.14
  5. Step 5: Solve for x
    x = 432,280,443,510.14/304,593.75
  6. Step 6: Final answer
    x = 1,419,203.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.