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Finding the Third Proportional to 409,083.75 and 585,603

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Solution

The third proportional to 409,083.75 and 585,603 is: 838,290.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,083.75 : 585,603 = 585,603 : x
  2. Step 2: Convert to fraction form
    409,083.75/585,603 = 585,603/x
  3. Step 3: Cross multiply
    409,083.75x = 585,603 × 585,603
  4. Step 4: Simplify right side
    409,083.75x = 342,930,873,609
  5. Step 5: Solve for x
    x = 342,930,873,609/409,083.75
  6. Step 6: Final answer
    x = 838,290.14

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.